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 A091924 Primes such that their decimal representations interpreted in base 11 are also prime. 71
 2, 3, 5, 7, 29, 43, 61, 67, 89, 139, 193, 197, 199, 227, 263, 269, 281, 331, 353, 373, 379, 467, 571, 601, 607, 643, 733, 797, 809, 821, 827, 887, 919, 937, 1033, 1039, 1093, 1129, 1231, 1237, 1259, 1277, 1303, 1327, 1381, 1451, 1453, 1459, 1583 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS See A090711 for a similar sequence whose definition works "in the opposite direction". - M. F. Hasler, Jan 03 2014 LINKS Robert Israel, Table of n, a(n) for n = 1..10000 FORMULA A090862(A049084(a(n))) > 11 for n>4. EXAMPLE A000040(10)=29 in base 11 is 2*11^1+9*11^0=31 prime, therefore 29 is a term. MAPLE filter:= proc(n) local L;   if not isprime(n) then return false fi;   L:= convert(n, base, 10);   isprime(add(L[i]*11^(i-1), i=1..nops(L))) end proc: select(filter, [2, seq(i, i=3..10000, 2)]); # Robert Israel, Jan 28 2018 MATHEMATICA Select[Prime@ Range@ 250, PrimeQ@ FromDigits[IntegerDigits@ #, 11] &] (* Michael De Vlieger, Aug 29 2015 *) PROG (PARI) is(p, b=11)={my(d=digits(p)); isprime(vector(#d, i, b^(#d-i))*d~)&&isprime(p)} \\ M. F. Hasler, Jan 03 2014 (MAGMA) [n:n in PrimesUpTo(1600)| IsPrime(Seqint(Intseq(n), 11))]; // Marius A. Burtea, Jun 30 2019 CROSSREFS Cf. A091923. Sequence in context: A332582 A019372 A117299 * A069108 A156604 A046864 Adjacent sequences:  A091921 A091922 A091923 * A091925 A091926 A091927 KEYWORD nonn,base AUTHOR Reinhard Zumkeller, Feb 13 2004 EXTENSIONS Corrected by Zak Seidov, Feb 25 2004 STATUS approved

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Last modified September 23 09:03 EDT 2020. Contains 337298 sequences. (Running on oeis4.)