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 A256186 #17 Jun 15 2025 01:34:14 %S A256186 101,103,107,109,307,401,503,509,601,607,701,709,809,907,1009,1013, %T A256186 1031,1039,1049,1051,1063,1091,1093,1097,1103,1301,1307,1409,1607, %U A256186 1709,1801,1901,1907,2003,2011,2027,2029,2039,2063,2069,2081,2083,2203,2207,2309,2609,2707 %N A256186 Naught-y primes (A056709) that after removing all zeros become zeroless primes (A038618). %C A256186 Subsequence of A256227. %H A256186 Charles R Greathouse IV, <a href="/A256186/b256186.txt">Table of n, a(n) for n = 1..10000</a> %e A256186 a(1)=101=A056709(1) => 11=A038618(5), a(15)=1009=A056709(16) => 19=A038618(8). %t A256186 ss = {}; Do[id = IntegerDigits[p = Prime[k]]; If[Min[id] < 1 && PrimeQ[FromDigits[Delete[id, Position[id, 0]]]], ss = {ss, p}], {k, 1, 500}]; Flatten[ss] (* _Zak Seidov_ *) %t A256186 Select[Prime[Range[500]], DigitCount[#, 10, 0] > 0 && PrimeQ[FromDigits[DeleteCases[IntegerDigits[#], 0]]] &] (* _Alonso del Arte_, Mar 22 2015 *) %o A256186 (PARI) is(n)=my(d=digits(n)); isprime(n) && #d>#(d=select(x->x,d)) && isprime(fromdigits(d)) \\ _Charles R Greathouse IV_, Mar 19 2015 %Y A256186 Cf. A056709 Naught-y primes, primes with noughts (or zeros), A038618 Primes not containing digit '0', a.k.a. zeroless primes. %K A256186 nonn,base %O A256186 1,1 %A A256186 _Zak Seidov_, Mar 19 2015