This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A326609 #46 Nov 23 2023 09:13:44 %S A326609 3,13,5,3121,5209,2801,76695841,811,66600049, %T A326609 29156193474041220857161146715104735751776055777,388177921 %N A326609 Largest minimal prime in base n (written in base 10). %C A326609 a(13) is (probably) 13^32020*8+183, it has 35670 digits, a(14) = 14^85*4+65, it has 99 digits, a(15) = (15^106*66-619)/7, it has 126 digits, a(16) = 16^3544*9+145, it has 4269 digits. %C A326609 a(17) is the smallest prime of the form (4105*17^k-9)/16 if it exists, otherwise (probably) (73*17^111333-9)/16 (136991 digits), a(18) = 18^31*304+1 (42 digits). %C A326609 Other known terms: a(20) = (20^449*16-2809)/19 (585 digits), a(22) = 22^763*20+7041 (1026 digits), a(23) is (probably) (23^800873*106-7)/11 (1090573 digits), a(24) = (24^99*512-121)/23 (138 digits), a(30) = 30^1023*12+1 (1513 digits), a(42) = (42^487*27-1093)/41 (791 digits). %C A326609 a(19) is the smallest prime of the form (15964*19^k-1)/3 if it exists, otherwise (probably) (904*19^110984-1)/3 (141924 digits), a(21) is the smallest prime of the form 16*21^k+335 if it exists, otherwise (probably) (51*21^479149-1243)/4 (633542 digits). %H A326609 Richard N. Smith, <a href="/A326609/b326609.txt">Table of n, a(n) for n = 2..16</a> %H A326609 Curtis Bright, Raymond Devillers, and Jeffrey Shallit, <a href="https://cs.uwaterloo.ca/~cbright/reports/mepn.pdf">Minimal Elements for the Prime Numbers</a>, preprint, 2014. %H A326609 Curtis Bright, Raymond Devillers, and Jeffrey Shallit, <a href="https://doi.org/10.1080/10586458.2015.1064048">Minimal Elements for the Prime Numbers</a>, Experimental Mathematics, Volume 25, 2016 - Issue 3. %H A326609 C. K. Caldwell, The Prime Glossary, <a href="https://primes.utm.edu/glossary/page.php?sort=MinimalPrime">minimal prime</a> %H A326609 Richard N. Smith, <a href="/A326609/a326609.txt">List of all known terms</a> %H A326609 Top PRPs, <a href="http://www.primenumbers.net/prptop/searchform.php?form=8*13%5En%2B183&action=Search">Search for 8*13^n+183</a> %H A326609 Top PRPs, <a href="http://www.primenumbers.net/prptop/searchform.php?form=%2873*17%5En-9%29%2F16&action=Search">Search for (73*17^n-9)/16</a> %H A326609 Top PRPs, <a href="http://www.primenumbers.net/prptop/searchform.php?form=%28106*23%5En-7%29%2F11&action=Search">Search for (106*23^n-7)/11</a> %H A326609 Wikipedia, <a href="https://en.wikipedia.org/wiki/Minimal_prime_(recreational_mathematics)">Minimal prime (recreational mathematics)</a> %Y A326609 Cf. A071062 (base 10 minimal primes), A110600 (base 12 minimal primes). %Y A326609 Cf. A293142 (largest non-repunit permutable prime), A317689 (largest non-repunit circular prime), A103443 (largest left-truncatable prime), A023107 (largest right-truncatable prime), A323137 (largest two-sided prime), A084738 (smallest repunit prime), A186995 (smallest weakly prime). %K A326609 nonn,base,hard %O A326609 2,1 %A A326609 _Richard N. Smith_, Jul 13 2019