100,000

• 100,003 = smallest 6-digit prime number[2]
• 100,128 = smallest triangular number with 6 digits and the 447th triangular number
• 100,151 = twin prime with 100,153
• 100,153 = twin prime with 100,151
• 100,255 = Friedman number[3]
• 100,489 = 317², the smallest 6-digit square
• 101,101 = smallest palindromic Carmichael number
• 101,723 = smallest prime number whose square is a pandigital number containing each digit from 0 to 9
• 102,564 = The smallest parasitic number
• 103,049 = little Schroeder number
• 103,680 = highly totient number[4]
• 103,769 = the number of combinatorial types of 5-dimensional parallelohedra
• 103,823 = 47³, the smallest 6-digit cube and nice Friedman number (−1 + 0 + 3×8×2)³
• 104,480 = number of non-isomorphic set-systems of weight 14.
• 104,723 = the 9,999th prime number
• 104,729 = the 10,000th prime number
• 104,869 = the smallest prime number containing every non-prime digit
• 104,976 = 18⁴, 3-smooth number
• 105,071 = number of triangle-free graphs on 11 vertices[5]
• 105,664 = harmonic divisor number[6]
• 109,376 = 1-automorphic number[7]
• 110,880 = highly composite number[8]
• 111,111 = repunit
• 111,777 = smallest natural number requiring 17 syllables in American English, 19 in British English
• 113,634 = Motzkin number for n = 14[9]
• 114,243/80,782 ≈ √2
• 114,689 = prime factor of F₁₂
• 115,975 = Bell number[10]
• 116,281 = 341², square number, centered decagonal number, 18-gonal number
• 117,067 = first vampire prime
• 117,649 = 7⁶
• 117,800 = harmonic divisor number[6]
• 120,032 = number of primitive polynomials of degree 22 over GF(2)[11]
• 120,284 = Keith number[12]
• 120,960 = highly totient number[4]
• 121,393 = Fibonacci number[13]
• 124,000 = number of Islamic prophets
• 125,673 = logarithmic number[14]
• 127,777 = smallest natural number requiring 18 syllables in American English, 20 in British English
• 127,912 = Wedderburn–Etherington number[15]
• 128,981 = Starts the first prime gap sequence of 2, 4, 6, 8, 10, 12, 14
• 129,106 = Keith number[12]
• 130,321 = 19⁴
• 131,071 = Mersenne prime[16]
• 131,072 = 2¹⁷
• 131,361 = Leyland number[17]
• 134,340 = Pluto's minor planet designation
• 135,137 = Markov number[18]
• 142,129 = 377², square number, dodecagonal number
• 142,857 = Kaprekar number, smallest cyclic number in decimal.
• 144,000 = number with religious significance
• 147,640 = Keith number[12]
• 148,149 = Kaprekar number[19]
• 152,381 = unique prime in base 20
• 156,146 = Keith number[12]
• 160,000 = 20⁴
• 160,176 = number of reduced trees with 26 nodes[20]
• 161,051 = 11⁵
• 161,280 = highly totient number[4]
• 166,320 = highly composite number[8]
• 167,400 = harmonic divisor number[6]
• 167,894 = number of ways to partition {1,2,3,4,5,6,7,8} and then partition each cell (block) into subcells.[21]
• 173,600 = harmonic divisor number[6]
• 174,680 = Keith number[12]
• 174,763 = Wagstaff prime[22]
• 176,906 = number of 24-bead necklaces (turning over is allowed) where complements are equivalent[23]
• 177,147 = 3¹¹
• 177,777 = smallest natural number requiring 19 syllables in American English, 21 in British English
• 178,478 = Leyland number[17]
• 181,440 = highly totient number[4]
• 181,819 = Kaprekar number[19]
• 182,362 = number of 23-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed[24]
• 183,186 = Keith number[12]
• 183,231 = number of partially ordered set with 9 unlabeled elements[25]
• 187,110 = Kaprekar number[19]
• 194,481 = 21⁴
• 195,025 = Pell number,[26] Markov number[18]
• 196,418 = Fibonacci number,[13] Markov number[18]
• 196,560 = the kissing number in 24 dimensions
• 196,883 = the dimension of the smallest nontrivial irreducible representation of the Monster group
• 196,884 = the coefficient of q in the Fourier series expansion of the j-invariant. The adjacency of 196883 and 196884 was important in suggesting monstrous moonshine.
• 199,999 = prime number.

• 202,717 = k such that the sum of the squares of the first k primes is divisible by k.[27]
• 206,098 – Large Schröder number
• 206,265 = rounded number of arc seconds in a radian (see also parsec), since 180 × 60 × 60/π = 206,264.806...
• 207,360 = highly totient number[4]
• 208,012 = the Catalan number C₁₂[28]
• 208,335 = the largest number to be both triangular and square pyramidal
• 208,495 = Kaprekar number[19]
• 212,159 = smallest unprimeable number ending in 1, 3, 7 or 9[29][30]
• 221,760 = highly composite number[8]
• 222,222 = repdigit
• 227,475 = Riordan number
• 234,256 = 22⁴
• 237,510 = harmonic divisor number[6]
• 238,591 = number of free 13-ominoes
• 241,920 = highly totient number[4]
• 242,060 = harmonic divisor number[6]
• 248,832 = 12⁵, 100,000₁₂, AKA a gross-great-gross (100₁₂ great-grosses); the smallest fifth power that can be represented as the sum of only 6 fifth powers: 12⁵ = 4⁵ + 5⁵ + 6⁵ + 7⁵ + 9⁵ + 11⁵
• 262,144 = 2¹⁸; exponential factorial of 4;[31] a superperfect number[32]
• 262,468 = Leyland number[17]
• 268,705 = Leyland number[17]
• 274,177 = prime factor of the Fermat number F₆
• 275,807/195,025 ≈ √2
• 276,480 = number of primitive polynomials of degree 24 over GF(2)[33]
• 277,200 = highly composite number[8]
• 279,841 = 23⁴
• 279,936 = 6⁷
• 280,859 = a prime number whose square 78881777881 is tridigital
• 291,400 = number of non-equivalent ways of expressing 100,000,000 as the sum of two prime numbers[34]
• 293,547 = Wedderburn–Etherington number[15]
• 294,001 = smallest weakly prime number in base 10[35]
• 294,685 = Markov number[18]
• 298,320 = Keith number[12]

• 310,572 = Motzkin number[9]
• 316,749 = number of reduced trees with 27 nodes[36]
• 317,811 = Fibonacci number[13]
• 318,682 = Kaprekar number[19]
• 325,878 = Fine number[37]
• 326,981 = alternating factorial[38]
• 329,967 = Kaprekar number[19]
• 331,776 = 24⁴
• 332,640 = highly composite number;[8] harmonic divisor number[6]
• 333,333 = repdigit
• 333,667 = sexy prime and unique prime[39]
• 333,673 = sexy prime with 333,679
• 333,679 = sexy prime with 333,673
• 337,500 = 2² × 3³ × 5⁵
• 337,594 = number of 25-bead necklaces (turning over is allowed) where complements are equivalent[40]
• 349,716 = number of 24-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed[41]
• 351,351 = only known odd abundant number that is not the sum of some of its proper, nontrivial (i.e. >1) divisors (sequence A122036 in the OEIS).
• 351,352 = Kaprekar number[19]
• 355,419 = Keith number[12]
• 356,643 = Kaprekar number[19]
• 356,960 = number of primitive polynomials of degree 23 over GF(2)[42]
• 360,360 = harmonic divisor number;[6] the smallest number divisible by all of the numbers 1 through 15
• 362,880 = 9!, highly totient number[4]
• 369,119 = prime number which divides the sum of all primes less than or equal to it[43]
• 370,261 = first prime followed by a prime gap of over 100
• 371,293 = 13⁵, palindromic in base 12 (15AA51₁₂)
• 389,305 = self-descriptive number in base 7
• 390,313 = Kaprekar number[19]
• 390,625 = 5⁸
• 397,585 = Leyland number[17]

• 409,113 = sum of the first nine factorials
• 422,481 = smallest number whose fourth power is the sum of three smaller fourth powers
• 423,393 = Leyland number[17]
• 426,389 = Markov number[18]
• 426,569 = cyclic number in base 12
• 437,760 to 440,319 = any of these numbers will cause the Apple II+ and Apple IIe computers to crash to a monitor prompt when entered at the BASIC prompt, due to a short-cut in the Applesoft code programming of the overflow test when evaluating 16-bit numbers.[44] Entering 440000 at the prompt has been used to hack games that are protected against entering commands at the prompt after the game is loaded.
• 444,444 = repdigit
• 456,976 = 26⁴
• 461,539 = Kaprekar number[19]
• 466,830 = Kaprekar number[19]
• 470,832 = Pell number[26]
• 483,840 = highly totient number[4]
• 498,960 = highly composite number[8]
• 499,393 = Markov number[18]
• 499,500 = Kaprekar number[19]

• 500,500 = Kaprekar number,[19] sum of first 1,000 integers
• 509,203 = Riesel number[45]
• 510,510 = the product of the first seven prime numbers, thus the seventh primorial.[46] It is also the product of four consecutive Fibonacci numbers—13, 21, 34, 55, the highest such sequence of any length to be also a primorial. And it is a double triangular number, the sum of all even numbers from 0 to 1428.
• 514,229 = Fibonacci prime,[47] Markov prime[18]
• 518,859 = little Schroeder number
• 524,287 = Mersenne prime[16]
• 524,288 = 2¹⁹
• 524,649 = Leyland number[17]
• 525,600 = minutes in a non-leap year
• 527,040 = minutes in a leap year
• 531,441 = 3¹²
• 533,169 = Leyland number[17]
• 533,170 = Kaprekar number[19]
• 537,824 = 14⁵
• 539,400 = harmonic divisor number[6]
• 548,834 = equal to the sum of the sixth powers of its digits
• 554,400 = highly composite number[8]
• 555,555 = repdigit
• 599,999 = prime number.

• 604,800 = number of seconds in a week
• 614,656 = 28⁴
• 625,992 = Riordan number
• 629,933 = number of reduced trees with 28 nodes[48]
• 646,018 = Markov number[18]
• 649,532 = number of 26-bead necklaces (turning over is allowed) where complements are equivalent[49]
• 664,579 = the number of primes under 10,000,000
• 665,280 = highly composite number[8]
• 665,857/470,832 ≈ √2
• 666,666 = repdigit
• 671,092 = number of 25-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed[50]
• 676,157 = Wedderburn–Etherington number[15]
• 678,570 = Bell number[10]
• 694,280 = Keith number[12]
• 695,520 = harmonic divisor number[6]

• 700,001 = prime number.
• 707,281 = 29⁴
• 720,720 = superior highly composite number;[51] colossally abundant number;[52] the smallest number divisible by all the numbers 1 through 16
• 725,760 = highly totient number[4]
• 726,180 = harmonic divisor number[6]
• 729,000 = 90³
• 739,397 = largest prime that is both right- and left-truncatable.
• 742,900 = Catalan number[28]
• 753,480 = harmonic divisor number[6]
• 759,375 = 15⁵
• 765,623 = emirp, Friedman prime 5⁶ × 7² − 6 ÷ 3
• 777,777 = repdigit, smallest natural number requiring 20 syllables in American English, 22 in British English, largest number in English not containing the letter 'i' in its name
• 783,700 = initial number of third century xx00 to xx99 (after 400 and 1,400) containing seventeen prime numbers[53][lower-alpha 1] {783,701, 783,703, 783,707, 783,719, 783,721, 783,733, 783,737, 783,743, 783,749, 783,763, 783,767, 783,779, 783,781, 783,787, 783,791, 783,793, 783,799}
• 799,999 = prime number.

• 810,000 = 30⁴
• 823,543 = 7⁷
• 825,265 = smallest Carmichael number with 5 prime factors
• 832,040 = Fibonacci number[13]
• 853,467 = Motzkin number[9]
• 857,375 = 95³
• 873,612 = 1¹ + 2² + 3³ + 4⁴ + 5⁵ + 6⁶ + 7⁷
• 888,888 = repdigit
• 890,625 = 1-automorphic number[7]

• 900,001 = prime number
• 901,971 = number of free 14-ominoes
• 909,091 = unique prime in base 10
• 923,521 = 31⁴
• 925,765 = Markov number[18]
• 925,993 = Keith number[12]
• 950,976 = harmonic divisor number[6]
• 967,680 = highly totient number[4]
• 970,299 = 99³, the largest 6-digit cube
• 998,001 = 999², the largest 6-digit square. The reciprocal of this number, in its expanded form, lists all three-digit numbers in order except 998.[55]
• 998,991 = highest triangular number with 6 digits and the 1,413th triangular number
• 999,983 = largest 6-digit prime number
• 999,999 = repdigit. Rational numbers with denominators 7 and 13 have 6-digit repetends when expressed in decimal form, because 999999 is the smallest number one less than a power of 10 that is divisible by 7 and by 13, and it is the largest number in English not containing the letter 'l' in its name.

Increments of 10⁵ from zero through a million have the following prime counts:

• 9,592 primes between 0 and 100,000.

99,991 is the largest prime number less than 100,000.

• 8,392 primes between 100,000 and 200,000.[lower-alpha 2]

This is a difference of 1,200 primes from the previous range.

104,729 is the 10,000th prime in this range.

199,999 is prime.

• 8,013 primes between 200,000 and 300,000.[lower-alpha 3]

A difference of 379 primes from the previous range.

224,737 is the 20,000th prime.

• 7,863 primes between 300,000 and 400,000.[lower-alpha 4]

A difference of 150 primes from the previous range.

350,377 is the 30,000th prime.

• 7,678 primes between 400,000 and 500,000.[lower-alpha 5]

A difference of 185 primes from the previous range.

Here, the difference increases by a count of 35.

479,909 is the 40,000th prime.

• 7,560 primes between 500,000 and 600,000.[lower-alpha 6]

A difference of 118 primes from the previous range.

7,560 is the twentieth highly composite number.[56]

599,999 is prime.

• 7,445 primes between 600,000 and 700,000.[lower-alpha 7]

A difference of 115 primes from the previous range.

611,953 is the 50,000th prime.

• 7,408 primes between 700,000 and 800,000.[lower-alpha 8]

A difference of 37 primes from the previous range.

700,001 and 799,999 are both prime.

746,773 is the 60,000th prime.

• 7,323 primes between 800,000 and 900,000.[lower-alpha 9]

A difference of 85 primes from the previous range.

Here, the difference increases by a count of 48.

882,377 is the 70,000th prime.

• 7,224 primes between 900,000 and 1,000,000.[lower-alpha 10]

A difference of 99 primes from the previous range.

The difference increases again, by a count of 14.

900,001 is prime.

In total, there are 68,906 prime numbers between 100,000 and 1,000,000.[57]