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Highest-scoring prime numbers

Every number here is prime. The score also recognizes its other digit and mathematical properties, so primality alone does not determine its position.

Exact population: 78,498 numbers · Algorithm 1.1.0

Top 100 by score among 78,498 primes numbers. Equal scores share a rank; ties at the cutoff may extend beyond this list.
Rank Number Score Global rank Same length Patterns
#1 3 1,677 Top <0.01% Top 10.0% 1 digits All ones in binary · Fibonacci number · Triangular number
#2 2 1,444 Top <0.01% Top 40.0% 1 digits Factorial · Power of two · Fibonacci number
#3 5 1,384 Top <0.01% Top 50.0% 1 digits Fibonacci number · Binary palindrome · Prime
#4 7 1,305 Top <0.01% Top 60.0% 1 digits All ones in binary · Prime · Binary palindrome
#5 11 1,220 Top <0.01% Top 6.67% 2 digits All digits identical · Palindrome · Prime
#6 31 1,154 Top <0.01% Top 8.89% 2 digits All ones in binary · Prime · Binary palindrome
#7 17 1,033 Top <0.01% Top 15.6% 2 digits Hex repdigit · Prime · Binary palindrome
#8 13 1,029 Top <0.01% Top 16.7% 2 digits Fibonacci number · Prime · Happy number
#9 313 1,023 Top <0.01% Top 0.44% 3 digits Palindrome · Binary palindrome · Prime
#10 101 929 Top <0.01% Top 2.11% 3 digits Palindrome · Prime · Repeated digit
#11 127 895 Top <0.01% Top 2.67% 3 digits All ones in binary · Prime · Binary palindrome
#12 32,323 894 Top <0.01% Top <0.01% 5 digits ABAB pattern · Palindrome · Only two distinct digits
#13 233 884 Top <0.01% Top 3.11% 3 digits Fibonacci number · Prime · Repeated digit
#14 78,787 866 Top 0.01% Top 0.01% 5 digits ABAB pattern · Palindrome · Only two distinct digits
#15 95,959 864 Top 0.01% Top 0.01% 5 digits ABAB pattern · Palindrome · Only two distinct digits
#16 89 861 Top 0.01% Top 30.0% 2 digits Fibonacci number · Prime
#17 131 857 Top 0.01% Top 3.89% 3 digits Palindrome · Prime · Repeated digit
#18 18,181 856 Top 0.01% Top 0.02% 5 digits ABAB pattern · Palindrome · Only two distinct digits
#18 94,949 856 Top 0.01% Top 0.02% 5 digits ABAB pattern · Palindrome · Only two distinct digits
#20 73 844 Top 0.01% Top 33.3% 2 digits Binary palindrome · Prime
#21 72,727 840 Top 0.01% Top 0.03% 5 digits ABAB pattern · Palindrome · Only two distinct digits
#21 74,747 840 Top 0.01% Top 0.03% 5 digits ABAB pattern · Palindrome · Only two distinct digits
#23 35,353 834 Top 0.01% Top 0.03% 5 digits ABAB pattern · Palindrome · Only two distinct digits
#24 8,191 827 Top 0.02% Top 0.29% 4 digits All ones in binary · Prime · Binary palindrome
#25 151 824 Top 0.02% Top 4.78% 3 digits Palindrome · Prime · Repeated digit
#26 181 786 Top 0.02% Top 6.00% 3 digits Palindrome · Prime · Repeated digit
#27 191 775 Top 0.03% Top 7.00% 3 digits Palindrome · Prime · Repeated digit
#27 353 775 Top 0.03% Top 7.00% 3 digits Palindrome · Prime · Repeated digit
#27 443 775 Top 0.03% Top 7.00% 3 digits Binary palindrome · Prime · Repeated digit
#30 383 768 Top 0.03% Top 7.56% 3 digits Palindrome · Prime · Happy number
#31 373 757 Top 0.03% Top 8.00% 3 digits Palindrome · Prime · Repeated digit
#32 23 756 Top 0.03% Top 42.2% 2 digits Prime · Happy number
#33 989,999 745 Top 0.03% Top <0.01% 6 digits Five or more of one digit · Prime · Only two distinct digits
#34 41 736 Top 0.04% Top 44.4% 2 digits Prime
#35 727 735 Top 0.04% Top 9.11% 3 digits Palindrome · Prime · Repeated digit
#36 107 720 Top 0.04% Top 10.3% 3 digits Binary palindrome · Prime
#37 757 719 Top 0.04% Top 10.6% 3 digits Palindrome · Prime · Repeated digit
#37 919 719 Top 0.04% Top 10.6% 3 digits Palindrome · Prime · Repeated digit
#39 929 715 Top 0.05% Top 11.0% 3 digits Palindrome · Prime · Repeated digit
#40 11,311 710 Top 0.05% Top 0.10% 5 digits Palindrome · Only two distinct digits · Prime
#41 5,557 709 Top 0.05% Top 1.38% 4 digits Binary palindrome · Only two distinct digits · Prime
#42 787 708 Top 0.05% Top 11.6% 3 digits Palindrome · Prime · Repeated digit
#43 797 706 Top 0.05% Top 11.8% 3 digits Palindrome · Prime · Repeated digit
#44 43 703 Top 0.05% Top 51.1% 2 digits Prime
#44 61 703 Top 0.05% Top 51.1% 2 digits Prime
#46 211 698 Top 0.05% Top 12.6% 3 digits Prime · Repeated digit
#46 2,111 698 Top 0.05% Top 1.57% 4 digits Only two distinct digits · Prime · Happy number
#48 10,301 697 Top 0.05% Top 0.11% 5 digits Palindrome · Alternating parity · Prime
#49 53 689 Top 0.06% Top 53.3% 2 digits Prime
#49 71 689 Top 0.06% Top 53.3% 2 digits Prime
#49 799,999 689 Top 0.06% Top 0.02% 6 digits Five or more of one digit · Prime · Only two distinct digits
#49 999,979 689 Top 0.06% Top 0.02% 6 digits Five or more of one digit · Prime · Only two distinct digits
#53 19 685 Top 0.06% Top 55.6% 2 digits Prime · Happy number
#54 30,103 684 Top 0.06% Top 0.11% 5 digits Palindrome · Alternating parity · Prime
#55 113 678 Top 0.06% Top 15.2% 3 digits Prime · Repeated digit
#55 311 678 Top 0.06% Top 15.2% 3 digits Prime · Repeated digit
#57 11,411 676 Top 0.06% Top 0.11% 5 digits Palindrome · Only two distinct digits · Prime
#58 4,567 674 Top 0.06% Top 1.71% 4 digits Sequential ascending · Prime · Alternating parity
#59 37 665 Top 0.06% Top 58.9% 2 digits Prime
#59 331 665 Top 0.06% Top 16.9% 3 digits Prime · Happy number · Repeated digit
#59 2,221 665 Top 0.06% Top 1.86% 4 digits Only two distinct digits · Prime · Happy number
#59 4,111 665 Top 0.06% Top 1.86% 4 digits Only two distinct digits · Prime · Happy number
#63 10,501 664 Top 0.07% Top 0.12% 5 digits Palindrome · Alternating parity · Prime
#64 257 659 Top 0.07% Top 17.2% 3 digits Binary palindrome · Prime
#65 131,071 658 Top 0.07% Top 0.02% 6 digits All ones in binary · Prime · Binary palindrome
#66 29 654 Top 0.07% Top 67.8% 2 digits Prime
#66 47 654 Top 0.07% Top 67.8% 2 digits Prime
#66 83 654 Top 0.07% Top 67.8% 2 digits Prime
#69 223 645 Top 0.07% Top 19.0% 3 digits Prime · Repeated digit
#70 1,151 641 Top 0.07% Top 2.31% 4 digits Only two distinct digits · Prime · Happy number
#70 1,511 641 Top 0.07% Top 2.31% 4 digits Only two distinct digits · Prime · Happy number
#72 13,331 640 Top 0.08% Top 0.13% 5 digits Palindrome · Only two distinct digits · Prime
#73 1,619 638 Top 0.08% Top 2.39% 4 digits Binary palindrome · Prime · Zigzag digits
#73 599,999 638 Top 0.08% Top 0.02% 6 digits Five or more of one digit · Prime · Only two distinct digits
#73 999,599 638 Top 0.08% Top 0.02% 6 digits Five or more of one digit · Prime · Only two distinct digits
#73 999,959 638 Top 0.08% Top 0.02% 6 digits Five or more of one digit · Prime · Only two distinct digits
#77 5,113 637 Top 0.08% Top 2.43% 4 digits Binary palindrome · Prime · Repeated digit
#77 6,211 637 Top 0.08% Top 2.43% 4 digits Binary palindrome · Prime · Repeated digit
#79 67 636 Top 0.08% Top 71.1% 2 digits Prime
#80 79 634 Top 0.08% Top 73.3% 2 digits Prime · Happy number
#80 97 634 Top 0.08% Top 73.3% 2 digits Prime · Happy number
#82 59 628 Top 0.08% Top 75.6% 2 digits Prime
#82 103 628 Top 0.08% Top 20.3% 3 digits Prime · Happy number
#84 3,331 627 Top 0.08% Top 2.67% 4 digits Only two distinct digits · Prime · Happy number
#85 524,287 625 Top 0.09% Top 0.03% 6 digits All ones in binary · Prime · Binary palindrome
#86 79,997 621 Top 0.09% Top 0.14% 5 digits Palindrome · Only two distinct digits · Prime
#87 101,111 618 Top 0.09% Top 0.03% 6 digits Five or more of one digit · Prime · Only two distinct digits
#87 999,499 618 Top 0.09% Top 0.03% 6 digits Five or more of one digit · Prime · Only two distinct digits
#89 3,313 617 Top 0.09% Top 3.06% 4 digits Only two distinct digits · Prime · Happy number
#90 2,333 616 Top 0.09% Top 3.09% 4 digits Only two distinct digits · Prime · Happy number
#91 998,989 615 Top 0.09% Top 0.03% 6 digits Only two distinct digits · Prime · Quadruple digit
#92 7,919 611 Top 0.09% Top 3.18% 4 digits Binary palindrome · Prime · Zigzag digits
#93 1,831 608 Top 0.10% Top 3.27% 4 digits Binary palindrome · Prime · Repeated digit
#94 1,021 607 Top 0.10% Top 3.31% 4 digits Prime · Zigzag digits · Repeated digit
#94 1,117 607 Top 0.10% Top 3.31% 4 digits Only two distinct digits · Prime · Adjacent digit run
#94 1,201 607 Top 0.10% Top 3.31% 4 digits Prime · Zigzag digits · Repeated digit
#97 433 606 Top 0.10% Top 22.2% 3 digits Prime · Repeated digit
#97 811 606 Top 0.10% Top 22.2% 3 digits Prime · Repeated digit
#97 3,323 606 Top 0.10% Top 3.32% 4 digits Only two distinct digits · Prime · Happy number
#100 1,193 600 Top 0.10% Top 3.50% 4 digits Binary palindrome · Prime · Repeated digit

Global rank uses all 1,000,001 numbers. Same-length rank uses only numbers with that digit length, including ties. These are comparison populations for the same score; the rarity tier continues to use the global population.

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