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 A309429 #25 May 31 2024 22:10:21 %S A309429 2,37,83,137,229,317,409,557,677,829,991,1187,1423,1597,1871,2083, %T A309429 2347,2633,2939,3307,3581,3967,4297,4673,5051,5479,5927,6343,6791, %U A309429 7349,7757,8269,8783,9323,9871,10463,11069,11633,12251,12889,13537,14207,14891,15641 %N A309429 Least Luhn prime in base 2n: primes p such that p + reverse(p) in base 2n is also a prime. %C A309429 Luhn primes were named after Norman Luhn, who first noted the property of 229 on the website Prime Curios!. %C A309429 There are no Luhn primes in odd base, and only one, 2, in base 2. %H A309429 Amiram Eldar, <a href="/A309429/b309429.txt">Table of n, a(n) for n = 1..1000</a> %H A309429 Octavian Cira and Florentin Smarandache, <a href="http://www.uav.ro/stiinte_exacte/journal/index.php/TAMCS/article/download/112/90">Luhn prime numbers</a>, Theory and Applications of Mathematics & Computer Science, Vol. 5, No. 1 (2015), pp. 1-8. %H A309429 G. L. Honaker, Jr. and Chris Caldwell, eds., <a href="https://primes.utm.edu/curios/page.php?curio_id=2522">229</a>, Prime Curios!, November 19, 2001. %F A309429 a(n) > 8*n^2 for n > 1. %e A309429 a(2) = 37 since 37 = 211 in base 2*2 = 4, and 211+112 = 323 which equals 59 in base 10 and is prime. %t A309429 a[b_] := Module[{p=2}, While[!PrimeQ[p + FromDigits[Reverse @ IntegerDigits[p, b], b]], p = NextPrime[p]]; p]; Table[a[n], {n, 2, 88, 2}] %o A309429 (PARI) a(n) = {my(p=2); while (!isprime(p+fromdigits(Vecrev(digits(p, 2*n)), 2*n)), p = nextprime(p+1)); p;} \\ _Michel Marcus_, Aug 03 2019 %Y A309429 Cf. A061783. %K A309429 nonn,base %O A309429 1,1 %A A309429 _Amiram Eldar_, Aug 02 2019