1001 to 1099 •
1001 =
sphenic number (7 × 11 × 13),
pentagonal number,
pentatope number,
palindromic number •
1002 = sphenic number,
Mertens function zero,
abundant number, number of
partitions of 22 •
1003 = the product of some prime
p and the
pth prime, namely
p = 17. •
1004 =
heptanacci number •
1005 = Mertens function zero, decagonal pyramidal number •
1006 =
semiprime, product of two distinct
isolated primes (2 and 503);
unusual number;
square-free number; number of
compositions (ordered
partitions) of 22 into squares; sum of two distinct
pentatope numbers (5 and 1001); number of undirected
Hamiltonian paths in 4 by 5
square grid graph; record gap between
twin primes; number that is the sum of 7 positive 5th powers. In decimal:
equidigital number; when turned around, the number looks like a prime, 9001; its
cube can be
concatenated from other cubes, 1_0_1_8_1_0_8_216 ("_" indicates concatenation, 0 = 03, 1 = 13, 8 = 23, 216 = 63) •
1007 = number that is the sum of 8 positive 5th powers •
1008 = divisible by the number of primes below it •
1009 = smallest four-digit
prime,
palindromic in bases 11, 15, 19, 24 and 28: (83811, 47415, 2F219, 1I124, 18128). It is also a
Lucky prime and
Chen prime. •
1010 = 103 + 10, Mertens function zero •
1011 = the largest
n such that 2n contains 101 and does not contain 11011,
Harshad number in bases 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75 (and 202 other bases), number of partitions of 1 into reciprocals of positive integers 10) quadruple
triangular number (
triangular number is
253), number of partitions of 1 into reciprocals of positive integers 10-10, Mertens function zero, sum of the nontriangular numbers between successive triangular numbers 78 and 91 •
1015 =
square pyramidal number •
1016 = member of the
Mian–Chowla sequence,
stella octangula number, number of surface points on a cube with edge-length 14 •
1018 = Mertens function zero, 101816 + 1 is prime •
1019 =
Sophie Germain prime,
Chen prime •
1020 =
polydivisible number •
1021 =
twin prime with
1019. It is also a
Lucky prime. •
1022 =
Friedman number •
1023 = sum of five consecutive primes (193 + 197 + 199 + 211 + 223); the number of
three-dimensional polycubes with
7 cells; number of
elements in a
9-simplex; highest number one can count to on one's fingers using binary; magic number used in
Global Positioning System signals. •
1024 = 322 = 45 = 210, the number of
bytes in a
kilobyte (in 1999, the
IEC coined
kibibyte to use for 1024 with kilobyte being 1000, but this convention has not been widely adopted). 1024 is the smallest 4-digit square and also a
Friedman number. •
1025 =
Proth number 210 + 1; member of
Moser–de Bruijn sequence, because its base-4 representation (1000014) contains only digits 0 and 1, or it's a sum of distinct powers of 4 (45 + 40);
Jacobsthal-Lucas number; hypotenuse of
primitive Pythagorean triangle •
1026 = sum of two distinct powers of 2 (
1024 +
2) •
1027 = sum of the squares of the first eight primes; can be written from base 2 to base 18 using only the digits 0 to 9. •
1028 = sum of totient function for first 58 integers; can be written from base 2 to base 18 using only the digits 0 to 9; number of primes 13. •
1029 = can be written from base 2 to base 18 using only the digits 0 to 9. •
1030 = generalized heptagonal number •
1031 = exponent and number of ones for the fifth base-10
repunit prime,
Sophie Germain prime, •
1035 = 45th
triangular number,
hexagonal number •
1036 = central polygonal number •
1037 = number in E-toothpick sequence •
1038 =
even integer that is an unordered sum of two
primes in exactly 40 ways •
1039 =
prime of the form 8n+7, number of partitions of 30 that do not contain 1 as a part,
Chen prime,
Lucky prime •
1040 = 45 + 42: sum of distinct powers of 4. The number of pieces that could be seen in a 6 × 6 × 6× 6 Rubik's Tesseract. •
1041 = sum of 11 positive 5th powers •
1042 = sum of 12 positive 5th powers •
1043 = number whose sum of
even digits and sum of
odd digits are even •
1044 = sum of distinct powers of 4 •
1046 = coefficient of f(q) (3rd order mock theta function) •
1047 = number of ways to split a strict composition of 18 into contiguous subsequences that have the same sum •
1048 = number of partitions of 27 into
squarefree parts •
1049 =
Sophie Germain prime,
Chen prime •
1050 = 10508 to
decimal becomes a
pronic number (55210), number of parts in all partitions of 29 into distinct parts •
1051 =
centered pentagonal number,
centered decagonal number •
1052 = sum of 9 positive 6th powers •
1053 = triangular matchstick number •
1055 = sum of 12 positive 6th powers •
1056 =
pronic number •
1057 = central polygonal number •
1058 = sum of 4 positive 5th powers, area of a square with diagonal 46 •
1059 = number
n such that n4 is written in the form of a sum of four positive 4th powers •
1060 = sum of the first twenty-five primes from
2 through
97 (the number of primes less than
100), and sixth sum of 10 consecutive primes, starting with
23 through
131. •
1061 =
emirp,
twin prime with
1063, number of prime numbers between 1000 and
10000 (or, number of four-digit primes in
decimal representation) •
1062 = number that is not the sum of two
palindromes •
1063 =
super-prime, sum of seven consecutive primes (137 + 139 + 149 + 151 + 157 + 163 + 167); near-wall-sun-sun prime. It is also a
twin prime with
1061. •
1064 = sum of two positive
cubes •
1065 = generalized duodecagonal •
1066 = number whose sum of their
divisors is a
square •
1067 = number of strict
integer partitions of 45 in which are empty or have smallest
part not dividing the other ones •
1068 = number that is the sum of 7 positive 5th powers, •
1069 =
emirp •
1070 = number that is the sum of 9 positive 5th powers •
1071 =
heptagonal number •
1072 =
centered heptagonal number •
1073 = number that is the sum of 12 positive 5th powers •
1077 = number where
7 outnumbers every other digit in the number •
1078 =
Euler transform of negative
integers •
1079 = every positive integer is the sum of at most 1079 tenth powers. •
1080 = pentagonal number,
largely composite number •
1081 = 46th
triangular number, •
1082 = central polygonal number number of partitions of 53 into prime parts •
1084 =
third spoke of a hexagonal spiral,
108464 + 1 is prime •
1085 = number of partitions of
n into distinct
parts > or =
2 •
1086 =
Smith number, sum of totient function for first 59 integers •
1087 = super-prime,
cousin prime,
lucky prime •
1088 = octo-
triangular number, (
triangular number result being
136) sum of two distinct powers of 2, (
1024 +
64) number that is divisible by exactly seven
primes with the inclusion of
multiplicity •
1089 = 332,
nonagonal number,
centered octagonal number, first natural number whose digits in its decimal representation get reversed when multiplied by 9. •
1090 = sum of 5 positive 5th powers •
1091 =
cousin prime and
twin prime with
1093 •
1092 = divisible by the number of primes below it •
1093 = the smallest
Wieferich prime (the only other known
Wieferich prime is 3511),
twin prime with
1091 and
star number •
1094 = sum of 9 positive 5th powers, number that is not the sum of two
palindromes •
1096 = hendecagonal number, number of strict solid partitions of 18 •
1097 =
emirp, •
1099 = number where 9 outnumbers every other digit
1100 to 1199 •
1100 = number of partitions of 61 into distinct squarefree parts •
1101 = pinwheel number •
1102 = sum of totient function for first 60 integers •
1103 =
Sophie Germain prime, •
1104 =
Keith number •
1105 = 332 + 42 = 322 + 92 = 312 + 122 = 232 + 242,
Carmichael number,
magic constant of
n ×
n normal
magic square and
n-queens problem for
n = 13,
decagonal number, centered square number, •
1106 = number of regions into which the plane is divided when drawing 24 ellipses •
1107 = number of non-isomorphic strict T0 multiset partitions of weight 8 •
1108 =
number k such that k64 + 1 is prime •
1109 = Friedlander-Iwaniec prime,
Chen prime •
1110 = k such that 2k + 3 is prime •
1111 = 11 × 101, palindrome that is a product of two palindromic primes,
repunit •
1112 = k such that 9k - 2 is a prime •
1113 = number of strict partions of 40 •
1114 = number of ways to write 22 as an orderless product of orderless sums •
1115 = number of partitions of 27 into a prime number of parts •
1116 = divisible by the number of primes below it •
1117 = number of diagonally symmetric polyominoes with 16 cells,
Chen prime •
1118 = number of unimodular 2 × 2 matrices having all terms in {0,1,...,21} •
1119 = number of
bipartite graphs with 9 nodes •
1120 =
number k such that k64 + 1 is prime •
1121 = number of squares between 342 and 344. •
1122 = pronic number, using 2 & 10 (210 + 102), spy number •
1125 =
Achilles number •
1126 = number of 2 × 2 non-singular integer matrices with entries from {0, 1, 2, 3, 4, 5} •
1127 = maximal number of pieces that can be obtained by cutting an annulus with 46 cuts •
1128 = 47th
triangular number, 1128 is the dimensional representation of the largest
vertex operator algebra with
central charge of 24,
D24. •
1129 = number of lattice points inside a circle of radius 19 •
1130 = skiponacci number •
1131 = number of edges in the
hexagonal triangle T(26) •
1132 = number of simple unlabeled graphs with 9 nodes of 2 colors whose components are complete graphs •
1133 = number of primitive subsequences of {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15} •
1134 = divisible by the number of primes below it, triangular matchstick number •
1135 =
centered triangular number •
1136 = number of independent vertex sets and vertex covers in the 7-sunlet graph •
1137 = sum of values of vertices at level 5 of the hyperbolic Pascal pyramid •
1138 = recurring number in the works of
George Lucas and his companies, beginning with his first feature film –
THX 1138; particularly, a special code for Easter eggs on
Star Wars DVDs. •
1139 =
wiener index of the
windmill graph D(3,17) •
1140 =
tetrahedral number •
1141 = 7-Knödel number •
1142 = n such that n32 + 1 is prime, spy number •
1143 = number of set partitions of 8 elements with 2 connectors •
1144 is not the sum of a pair of twin primes •
1145 = 5-
Knödel number •
1146 is not the sum of a pair of twin primes •
1148 is not the sum of a pair of twin primes •
1150 = number of 11-iamonds without bilateral symmetry. •
1151 = first prime following a
prime gap of 22,
Chen prime •
1152 =
highly totient number,
3-smooth number (27×32), area of a square with diagonal 48, •
1154 = 2 × 242 + 2 = number of points on surface of tetrahedron with edge length 24 •
1155 = number of edges in the join of two cycle graphs, both of order 33, product of first four odd primes (3*5*7*11) •
1156 = 342,
octahedral number, centered pentagonal number, •
1157 = smallest number that can be written as n^2+1 without any prime factors that can be written as a^2+1. •
1158 = number of points on surface of octahedron with edge length 17 •
1159 = member of the Mian–Chowla sequence, •
1160 =
octagonal number •
1161 = sum of the first twenty-six primes •
1162 = pentagonal number, See
Legendre's conjecture.
Chen prime. •
1164 = number of chains of multisets that partition a normal multiset of weight 8, where a multiset is normal if it spans an initial interval of positive integers •
1165 = 5-
Knödel number •
1167 = number of rational numbers which can be constructed from the set of integers between 1 and 43 •
1168 = antisigma(49) •
1169 = highly cototient number •
1173 = number of simple triangulation on a plane with 9 nodes •
1174 =
number of widely totally strongly normal compositions of 16 •
1175 = maximal number of pieces that can be obtained by cutting an annulus with 47 cuts •
1180 = smallest number of non-integral partitions into non-integral power >1000. •
1181 = smallest k over 1000 such that 8*10^k-49 is prime. •
1182 = number of necklaces possible with 14 beads of 2 colors (that cannot be turned over) •
1183 =
pentagonal pyramidal number •
1184 =
amicable number with 1210 •
1185 = number of partitions of 45 into pairwise relatively prime parts •
1186 = number of diagonally symmetric
polyominoes with 15 cells, balanced prime, •
1189 = number of squares between 352 and 354. •
1191 = 352 - 35 + 1 = H35 (the 35th Hogben number) •
1192 = sum of totient function for first 62 integers •
1193 = a number such that
41193 - 31193 is prime,
Chen prime •
1194 = number of permutations that can be reached with 8 moves of 2 bishops and 1 rook on a 3 × 3 chessboard •
1195 = smallest four-digit number for which a−1(n) is an integer is a(n) is 2*a(n-1) - (-1)n •
1196 = \sum_{k=1}^{38} \sigma(k) •
1197 = pinwheel number
1200 to 1299 •
1200 = the
long thousand, ten "
long hundreds" of 120 each, the traditional reckoning of large numbers in
Germanic languages, the number of households the
Nielsen ratings sample,
number k such that k64 + 1 is prime •
1201 = centered square number, •
1204: magic constant of a 7 × 7 × 7 magic cube •
1205 = number of partitions of 28 such that the number of odd parts is a part •
1206 = 29-gonal number •
1207 = composite
de Polignac number •
1208 = number of strict chains of divisors starting with the superprimorial A006939(3) •
1209 = The product of all ordered non-empty subsets of {3,1} if {a,b} is a||b: 1209=1*3*13*31 •
1210 = amicable number with 1184;
Self-descriptive number. •
1211 = composite
de Polignac number •
1213 =
emirp •
1214 = sum of first 39 composite numbers, spy number •
1215 = number of edges in the
hexagonal triangle T(27) •
1217 =
super-prime, Proth prime •
1221 = product of the first two digit, and three digit repdigit •
1222 =
hexagonal pyramidal number •
1223 =
Sophie Germain prime, 25th
hexagonal number, Additionally a centered octagonal number, icosienneagonal, hexacontagonal, and hecatonicositetragonal (124-gonal) number, and the sum of 5 consecutive odd cubes (13 + 33 + 53 + 73 + 93) •
1226 = number of rooted identity trees with 15 nodes •
1227 = smallest number representable as the sum of 3 triangular numbers in 27 ways •
1228 = sum of totient function for first 63 integers •
1229 =
Sophie Germain prime, •
1231 = smallest mountain emirp, as 121, smallest mountain number is 11 × 11 •
1232 = number of labeled ordered set of partitions of a 7-set into odd parts •
1233 = 122 + 332 •
1234 = number of parts in all partitions of 30 into distinct parts, •
1236 = 617 + 619: sum of twin prime pair •
1237 = prime of the form 2p-1 •
1238 = number of partitions of 31 that do not contain 1 as a part •
1240 = square pyramidal number spy number •
1242 = decagonal number •
1245 = Number of labeled spanning intersecting set-systems on 5 vertices. •
1246 = number of partitions of 38 such that no part occurs more than once •
1247 = pentagonal number •
1250 = area of a square with diagonal 50 •
1252 = 2 × 252 + 2 = number of points on surface of tetrahedron with edgelength 25 •
1254 = number of partitions of 23 into relatively prime parts •
1255 = Mertens function zero, number of ways to write 23 as an orderless product of orderless sums, •
1256 = 1 × 2 × (52)2 + 6, Mertens function zero •
1257 = number of lattice points inside a circle of radius 20 pronic number, sum of totient function for first 64 integers, number of strict partions of 41 •
1263 = rounded total surface area of a regular tetrahedron with edge length 27 •
1264 = sum of the first 27 primes •
1265 = number of rooted trees with 43 vertices in which vertices at the same level have the same degree •
1266 = centered pentagonal number, •
1269 = least number of triangles of the
Spiral of Theodorus to complete 11 revolutions •
1270 = 25 + 24×26 + 23×27, Mertens function zero •
1271 = sum of first 40 composite numbers •
1273 = 19 × 67 = 19 × prime(19) •
1274 =
sum of the nontriangular numbers between successive triangular numbers •
1275 = 50th
triangular number, •
1277 = the start of a
prime constellation of length 9 (a "prime nonuple") •
1278 = number of Narayana's cows and calves after 20 years •
1279 = Mertens function zero,
Mersenne prime exponent •
1280 = Mertens function zero, number of parts in all compositions of 9 •
1281 =
octagonal number •
1286 = number of inequivalent connected planar figures that can be formed from five 1 X 2 rectangles (or dominoes) such that each pair of touching rectangles shares exactly one edge, of length 1, and the adjacency graph of the rectangles is a tree •
1287 = {13 \choose 5} •
1288 = heptagonal number •
1291 = largest prime 4, Mertens function zero •
1292 = number such that phi(1292) = phi(sigma(1292)), Mertens function zero •
1293 = \sum_{j=1}^n j \times prime(j) •
1294 = rounded volume of a regular octahedron with edge length 14 •
1295 = number of edges in the join of two cycle graphs, both of order 35
1300 to 1399 •
1300 = Sum of the first 4 fifth powers, Mertens function zero, largest possible win margin in an
NAQT match; smallest even odd-factor hyperperfect number •
1301 = centered square number, number of trees with 13 unlabeled nodes •
1302 = Mertens function zero, number of edges in the
hexagonal triangle T(28) •
1304 = sum of 13046 and 1304 9 which is 328+976 •
1305 = triangular matchstick number •
1312 = member of the Mian-Chowla sequence; •
1314 = number of integer partitions of 41 whose distinct parts are connected •
1315 = 10^(2n+1)-7*10^n-1 is prime. •
1316 = Euler transformation of sigma(11) •
1317 = 1317 Only odd four digit number to divide the concatenation of all number up to itself in base 25 •
1318512 + 1 is prime, Mertens function zero •
1319 = safe prime •
1325 =
Markov number, centered tetrahedral number •
1326 = 51st
triangular number, Mertens function zero •
1337 = Used in the novel form of spelling called
leet. Approximate melting point of
gold in
kelvins. •
1338 = atomic number of the noble element of period 18, Mertens function zero •
1339 = First 4 digit number to appear twice in the sequence of sum of cubes of primes dividing n •
1340 = k such that 5 × 2k - 1 is prime •
1341 = First mountain number with 2 jumps of more than one. •
1342 = \sum_{k=1}^{40} \sigma(k), •
1344 = 372 - 52, the only way to express 1344 as a difference of prime squares •
1345 = k such that k, k+1 and k+2 are products of two primes •
1346 = number of locally disjointed rooted trees with 10 nodes •
1347 = concatenation of first 4
Lucas numbers •
1348 = number of ways to stack 22 pennies such that every penny is in a stack of one or two •
1349 = Stern-Jacobsthal number •
1350 = nonagonal number Or in other words A057167(1355) = 325,374,625,245 •
1356 is not the sum of a pair of twin primes •
1358 = rounded total surface area of a regular tetrahedron with edge length 28 •
1360 = 372 - 32, the only way to express 1360 as a difference of prime squares •
1363 = the number of ways to modify a circular arrangement of 14 objects by swapping one or more adjacent pairs •
1364 = Lucas number •
1365 = pentatope number •
1366 = Arima number, after Yoriyuki Arima who in 1769 constructed this sequence as the number of moves of the outer ring in the optimal solution for the Chinese Rings puzzle •
1367 = safe prime, •
1371 = sum of the first 28 primes •
1372 =
Achilles number •
1373 = number of lattice points inside a circle of radius 21 •
1377 = maximal number of pieces that can be obtained by cutting an annulus with 51 cuts •
1381 = centered pentagonal number •
1383 = 3 × 461. 101383 + 7 is prime •
1384 = \sum_{k=1}^{41} \sigma(k) •
1386 = octagonal pyramidal number •
1387 = 5th
Fermat pseudoprime of base 2, 22nd
centered hexagonal number and the 19th
decagonal number, •
1388 = 4 × 192 - 3 × 19 + 1 and is therefore on the x-axis of
Ulams spiral •
1389 = sum of first 42 composite numbers •
1398 = number of integer partitions of 40 whose distinct parts are connected
1400 to 1499 •
1400 = number of sum-free subsets of {1, ..., 15} •
1401 = pinwheel number number of signed trees with 8 nodes •
1403 = smallest x such that M(x) = 11, where M() is
Mertens function •
1404 = heptagonal number •
1407 = 382 - 38 + 1 = H38 (the 38th Hogben number) •
1411 = LS(41) •
1412 = LS(42), •
1415 = the Mahonian number: T(8, 8) •
1418 = smallest x such that M(x) = 13, where M() is
Mertens function •
1420 =
Number of partitions of 56 into prime parts •
1421 = maximum dimension of Euclidean spaces which suffice for every smooth compact Riemannian 29-manifold to be realizable as a sub-manifold, spy number •
1422 = number of partitions of 15 with two parts marked •
1423 = 200 + 1223 and the 200th prime is 1223; 1423 is also prime •
1424 = number of nonnegative solutions to x2 + y2 ≤ 422 •
1428 = number of complete ternary trees with 6 internal nodes, or 18 edges; the first 4 digits of the
repeating decimal for 1/7 (0.) •
1429 = number of partitions of 53 such that the smallest part is greater than or equal to number of parts •
1431 = 53rd
triangular number, •
1435 =
vampire number; •
1437 = smallest number of complexity 20: smallest number requiring 20 1's to build using +, * and ^ •
1438 = k such that 5 × 2k - 1 is prime •
1446 = number of points on surface of octahedron with edge length 19 •
1449 =
Stella octangula number •
1450 = σ2(34): sum of squares of divisors of 34 •
1453 =
Sexy prime with 1459 •
1454 = 3 × 222 + 2 = number of points on surface of square pyramid of side-length 22 •
1455 = k such that geometric mean of phi(k) and sigma(k) is an integer •
1456 = number of regions in regular 15-gon with all diagonals drawn •
1457 = 2 × 272 − 1 = a twin square •
1458 =
maximum determinant of an 11 by 11 matrix of zeroes and ones,
3-smooth number (2×36) •
1459 = Sexy prime with 1453, sum of nine consecutive primes (139 + 149 + 151 + 157 + 163 + 167 + 173 + 179 + 181),
Pierpont prime •
1460 = The number of years that would have to pass in the
Julian calendar in order to accrue a full year's worth of leap days. •
1461 = number of partitions of 38 into prime power parts •
1463 = total number of parts in all partitions of 16 •
1465 = 5-
Knödel number •
1467 = number of partitions of 39 with zero crank •
1468 = number of polyhexes with 11 cells that tile the plane by translation •
1469 = octahedral number, sum of totient function for first 69 integers •
1471 =
super-prime, centered heptagonal number •
1473 = cropped hexagone •
1475 = number of partitions of 33 into parts each of which is used a different number of times •
1476 = coreful perfect number •
1477 = 7-Knödel number •
1479 = number of planar partitions of 12 •
1480 = sum of the first 29 primes •
1481 = Sophie Germain prime •
1483 = 392 - 39 + 1 = H39 (the 39th Hogben number) •
1491 = nonagonal number, •
1496 = square pyramidal number •
1499 = Sophie Germain prime, •
1501 = centered pentagonal number •
1503 = least number of triangles of the
Spiral of Theodorus to complete 12 revolutions •
1506 = number of Golomb partitions of 28 •
1507 = number of partitions of 32 that do not contain 1 as a part •
1517 = number of lattice points inside a circle of radius 22 Mertens function zero •
1519 = number of polyhexes with 8 cells, Mertens function zero •
1520 = pentagonal number, •
1527 = number of 2-dimensional partitions of 11, Mertens function zero •
1528 = Mertens function zero, rounded total surface area of a regular octahedron with edge length 21 •
1529 = composite
de Polignac number Mertens function zero •
1533 = 21 × 73 = 21 × 21st prime •
1537 = Keith number, •
1539 = maximal number of pieces that can be obtained by cutting an annulus with 54 cuts •
1543 = prime dividing all Fibonacci sequences, Mertens function zero •
1544 = Mertens function zero, number of partitions of integer partitions of 17 where all parts have the same length •
1545 = number of reversible string structures with 9 beads using exactly three different colors •
1546 = number of 5 X 5 binary matrices with at most one 1 in each row and column, Mertens function zero •
1547 =
hexagonal pyramidal number •
1548 = coreful perfect number •
1550 = \frac {31 \times (3 \times 31 + 7)}{2} = number of cards needed to build a 31-tier house of cards with a flat, one-card-wide roof •
1551 = 6920 - 5369 = A169952(24) - A169952(23) = A169942(24) = number of Golomb rulers of length 24 •
1552 =
Number of partitions of 57 into prime parts •
1553 = 509 + 521 + 523 = a prime that is the sum of three consecutive primes •
1554 = 2 × 3 × 7 × 37 = product of four distinct primes •
15552 divides 61554 •
1556 = sum of the squares of the first nine primes •
1557 = number of graphs with 8 nodes and 13 edges •
1558 =
number k such that k64 + 1 is prime •
1559 = Sophie Germain prime •
1562 = maximal number of regions the plane is divided into by drawing 40 circles •
1564 = sum of totient function for first 71 integers •
1565 = \sqrt{1036^2+1173^2} and 1036+1173=47^2 •
1566 =
number k such that k64 + 1 is prime •
1567 = number of partitions of 24 with at least one distinct part •
1569 = 2 × 282 + 1 = number of different 2 × 2 determinants with integer entries from 0 to 28 •
1575 = odd
abundant number,
sum of the nontriangular numbers between successive triangular numbers, number of partitions of 24 •
1577 = sum of the quadratic residues of 83 •
1578 = sum of first 45 composite numbers •
1583 = Sophie Germain prime •
1584 = triangular matchstick number •
1588 = sum of totient function for first 72 integers •
1589 = composite
de Polignac number •
1591 = rounded volume of a regular octahedron with edge length 15 •
1593 = sum of the first 30 primes •
1594 = minimal cost of maximum height Huffman tree of size 17 •
1595 =
number of non-isomorphic set-systems of weight 10 •
1596 = 56th
triangular number Markov prime, repdigit in base 7 (44447), street number on Pennsylvania Avenue of the
White House, length in meters of a common High School Track Event, perfect score on
SAT (except from 2005 to 2015) •
1601 = Sophie Germain prime, Proth prime, •
1604 = number of compositions of 22 into prime parts •
1605 = number of polyominoes consisting of 7 regular octagons •
1606 = enneagonal pyramidal number •
1607 = member of prime triple with 1609 and 1613 •
1608 = \sum_{k=1}^{44} \sigma(k) •
1614 = number of ways of refining the partition 8^1 to get 1^8 •
1615 = composite number such that the square mean of its prime factors is a nonprime integer •
1616 = \frac{16(16^2 + 3 \times 16 - 1)}{3} = number of monotonic triples (x,y,z) in {1,2,...,16}3 •
1617 = pentagonal number •
1623 is not the sum of two triangular numbers and a fourth power •
1624 = number of squares in the
Aztec diamond of order 28 •
1625 = centered square number •
1628 = centered pentagonal number •
1632 = number of acute triangles made from the vertices of a regular 18-polygon •
1633 = star number •
1636 = number of nonnegative solutions to x2 + y2 ≤ 452 •
1638 =
harmonic divisor number, 5 × 21638 - 1 is prime •
1646 = number of graphs with 8 nodes and 14 edges •
1648 = number of partitions of 343 into distinct cubes •
1649 = highly cototient number, •
1655 = rounded volume of a regular dodecahedron with edge length 6 •
1656 = 827 + 829: sum of twin prime pair prime of the form 2p-1 •
1658 = smallest composite that when added to sum of prime factors reaches a prime after 25 iterations •
1664 = k such that k, k+1 and k+2 are sums of 2 squares •
1665 = centered tetrahedral number •
1669 =
super-prime, smallest prime with a gap of exactly 24 to the next prime •
1670 = number of compositions of 12 such that at least two adjacent parts are equal •
1671 divides the sum of the first 1671 composite numbers •
1672 = 412 - 32, the only way to express 1672 as a difference of prime squares •
1674 = k such that geometric mean of phi(k) and sigma(k) is an integer •
1676 = number of partitions of 34 into parts each of which is used a different number of times •
1689 = 9!!\sum_{k=0}^{4} \frac{1}{2k+1} •
1690 = number of compositions of 14 into powers of 2 •
1691 = the same upside down, which makes it a strobogrammatic number •
1692 = coreful perfect number •
1704 = sum of the squares of the parts in the partitions of 18 into two distinct parts •
1705 =
tribonacci number •
1706 = 1 + 4 + 16 + 64 + 256 + 1024 + 256 + 64 + 16 + 4 + 1 sum of fifth row of triangle of powers of 4 •
1707 = number of partitions of 30 in which the number of parts divides 30 •
1709 = first of a sequence of eight primes formed by adding
57 in the middle. 1709, 175709, 17575709, 1757575709, 175757575709, 17575757575709, 1757575757575709 and 175757575757575709 are all prime, but 17575757575757575709 = 232433 × 75616446785773 •
1710 = maximal number of pieces that can be obtained by cutting an annulus with 57 cuts •
1714 = number of regions formed by drawing the line segments connecting any two of the 18 perimeter points of an 3 × 6 grid of squares •
1715 = k such that geometric mean of phi(k) and sigma(k) is an integer •
1719 = composite
de Polignac number pronic number •
1726 = number of partitions of 44 into distinct and relatively prime parts •
1727 = area of the 24th conjoined trapezoid •
1733 =
Sophie Germain prime, palindromic in bases 3, 18, 19. •
1734 = surface area of a cube of edge length 17 •
1735 = number of partitions of 55 such that the smallest part is greater than or equal to number of parts •
1740 = number of squares in the
Aztec diamond of order 29 •
1747 = balanced prime •
1749 = number of integer partitions of 33 with no part dividing all the others •
1763 = number of edges in the join of two cycle graphs, both of order 41 •
1766 = number of points on surface of octahedron with edge length 21 •
1768 = number of nonequivalent dissections of an hendecagon into 8 polygons by nonintersecting diagonals up to rotation •
1769 = maximal number of pieces that can be obtained by cutting an annulus with 58 cuts •
1774 = number of rooted identity trees with 15 nodes and 5 leaves •
1775 = \sum_{1\leq i\leq 10}prime(i)\cdot(2\cdot i-1): sum of piles of first 10 primes •
1776 = 24th square star number. The number of pieces that could be seen in a 7 × 7 × 7× 7 Rubik's Tesseract. •
1777 = smallest prime > 422. •
1779 = number of achiral integer partitions of 53 •
1781 = the first 1781 digits of e form a prime •
1782 = heptagonal number •
1785 = square pyramidal number, •
1789 = number of wiggly sums adding to 17 (terms alternately increase and decrease or vice versa) •
1790 = number of partitions of 50 into pairwise relatively prime parts •
1796 = k such that geometric mean of phi(k) and sigma(k) is an integer •
1799 = 2 × 302 − 1 = a twin square •
1804 =
number k such that k^64 + 1 is prime •
1805 = number of squares between 432 and 434. only number for which
n equals the denominator of the
nth
Bernoulli number,
Schröder number •
1807 = fifth term of Sylvester's sequence •
1808 = maximal number of regions the plane is divided into by drawing 43 circles •
1810 = \sum_{k=0}^4 \binom{4}{k}^4 •
1811 = Sophie Germain prime •
1812 = n such that n32 + 1 is prime •
1814 = 1 + 6 + 36 + 216 + 1296 + 216 + 36 + 6 + 1 = sum of 4th row of triangle of powers of six •
1815 = polygonal chain number \#(P^3_{2,1}) •
1816 = number of strict partions of 44 •
1818 = n such that n32 + 1 is prime •
1820 = pentagonal number, •
1821 = member of the Mian–Chowla sequence •
1832 = sum of totient function for first 77 integers •
1833 = number of atoms in a decahedron with 13 shells •
1834 = octahedral number, •
1836 = factor by which a
proton is more massive than an
electron •
1837 = star number •
1840 = 432 - 32, the only way to express 1840 as a difference of prime squares Mertens function zero •
1842 = number of unlabeled rooted trees with 11 nodes •
1843 = k such that phi(k) is a perfect cube, Mertens function zero •
1844 = 37 - 73, Mertens function zero •
1845 = number of partitions of 25 containing at least one prime, Mertens function zero •
1846 = sum of first 49 composite numbers •
1853 = sum of primitive roots of 27-th prime, Mertens function zero •
1854 = number of permutations of 7 elements with no fixed points, Mertens function zero •
1855 = rencontres number: number of permutations of [7] with exactly one fixed point •
1856 = sum of totient function for first 78 integers •
1857 = Mertens function zero, pinwheel number •
1859 = composite
de Polignac number •
1861 = centered square number, •
1865 = 123456: Largest
senary metadrome (number with digits in strict ascending order in base 6) •
1866 = Mertens function zero, number of plane partitions of 16 with at most two rows •
1867 = prime
de Polignac number •
1870 = decagonal number •
1872 = first Zagreb index of the complete graph K13 •
1878 = n such that n32 + 1 is prime •
1880 = the 10th element of the self convolution of Lucas numbers •
1881 =
tricapped prism number •
1882 = number of
linearly separable Boolean functions in 4 variables •
1883 = number of conjugacy classes in the alternating group A28 •
1887 = number of edges in the
hexagonal triangle T(34) •
1898 = smallest multiple of n whose digits sum to 26 •
1899 = cropped hexagone •
1903 = generalized Catalan number •
1904 = number of flat partitions of 43 •
1907 = safe prime, •
1910 = number of compositions of 13 having exactly one fixed point •
1911 = heptagonal pyramidal number •
1913 =
super-prime, Honaker prime •
1915 = number of nonisomorphic semigroups of order 5 •
1916 = sum of first 50 composite numbers •
1920 =
sum of the nontriangular numbers between successive triangular numbers 120 and 136, •
1921 = 4-dimensional centered cube number •
1922 = Area of a square with diagonal 62 •
1925 = number of ways to write 24 as an orderless product of orderless sums •
1928 = number of distinct values taken by 2^2^...^2 (with 13 2's and parentheses inserted in all possible ways) •
1929 = Mertens function zero, number of integer partitions of 42 whose distinct parts are connected 324-gonal number. •
1937 = number of chiral n-ominoes in 12-space, one cell labeled •
1938 = Mertens function zero, number of points on surface of octahedron with edge length 22 •
1942 = number k for which 10k + 1, 10k + 3, 10k + 7, 10k + 9 and 10k + 13 are primes •
1943 = largest number not the sum of distinct tetradecagonal numbers •
1944 =
3-smooth number (23×35),
Achilles number •
1946 = number of surface points on a cube with edge-length 19 •
1948 = number of strict solid partitions of 20 largest number not the sum of distinct pentadecagonal numbers •
1953 = hexagonal prism number, 62nd
triangular number •
1958 = number of partitions of 25 •
1960 = number of parts in all partitions of 33 into distinct parts •
1963! - 1 is prime •
1964 = number of linear forests of planted planar trees with 8 nodes •
1965 = total number of parts in all partitions of 17 •
σ(1968) = σ(1967) + σ(1966) •
1969 = Only value less than four million for which a "mod-ification" of the standard
Ackermann Function does not stabilize •
1971 = 3^7-6^3 •
1972 = n such that \frac{n^{37}-1}{n-1} is prime •
1973 = Sophie Germain prime,
Leonardo prime •
1974 = number of binary vectors of length 17 containing no singletons •
1978 = n such that n | (3n + 5) •
1979 = number of squares between 452 and 454, •
1980 = pronic number, •
1981 = pinwheel number, •
1983 = skiponacci number see also:
1984 (disambiguation) •
1985 =
centered square number sum of the first 51 composite numbers •
1989 = number of balanced primes less than 100,000, number of 9-step mappings with 4 inputs palindromic composite number with only palindromic prime factors •
1992 = number of nonisomorphic sets of nonempty subsets of a 4-set •
1993 = a number with the property that 41993 - 31993 is prime, number of partitions of 30 into a prime number of parts •
1995 = number of unlabeled graphs on 9 vertices with independence number 6 •
1996 = a number with the property that (1996! + 3)/3 is prime •
1997 = \sum_{k=1}^{21} {k \cdot \phi(k)} •
1998 = triangular matchstick number number of
regular forms in a
myriagram.
Prime numbers There are 135
prime numbers between 1000 and 2000: :1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069, 1087, 1091, 1093, 1097, 1103, 1109, 1117, 1123, 1129, 1151, 1153, 1163, 1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223, 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291, 1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, 1381, 1399, 1409, 1423, 1427, 1429, 1433, 1439, 1447, 1451, 1453, 1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511, 1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583, 1597, 1601, 1607, 1609, 1613, 1619, 1621, 1627, 1637, 1657, 1663, 1667, 1669, 1693, 1697, 1699, 1709, 1721, 1723, 1733, 1741, 1747, 1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811, 1823, 1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1889, 1901, 1907, 1913, 1931, 1933, 1949, 1951, 1973, 1979, 1987, 1993, 1997, 1999 == Notes ==