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 A032595 First of three consecutive palindromes all of which are prime. 5
 1878781, 1879781, 1968691, 3589853, 7819187, 108484801, 159181951, 160696061, 175090571, 187090781, 316686613, 319393913, 725585527, 728888827, 731898137, 904080409, 921191129, 930494039, 987191789, 987484789, 10456865401, 10744944701 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Charles R Greathouse IV, Table of n, a(n) for n = 1..10000 P. De Geest, World!Of Palindromic Primes EXAMPLE 2,3,5 are palindromes, and consecutive primes, but they are not consecutive palindromes. 2,3,4 are consecutive palindromes, but they are not all primes. The first time there are three consecutive palindromes which are all primes is 1878781, 1879781, 1880881. - N. J. A. Sloane, Aug 12 2021 PROG (PARI) nxt(n)=my(d=digits(n)); i=(#d+1)\2; while(i&&d[i]==9, d[i]=0; d[#d+1-i]=0; i--); if(i, d[i]++; d[#d+1-i]=d[i], d=vector(#d+1); d[1]=d[#d]=1); sum(i=1, #d, 10^(#d-i)*d[i]) \\ From David A. Corneth at A002113 list(lim)=my(v=List(), p=1, q=2, r=3); while(p<=lim\=1, if(isprime(r), if(isprime(q), if(isprime(p), listput(v, p)); p=q; q=r; r=nxt(r), q=nxt(p=r); r=nxt(q)), q=nxt(p=nxt(r)); r=nxt(q))); Vec(v) \\ Charles R Greathouse IV, Aug 11 2021 CROSSREFS Cf. A002385, A032596, A032597. Sequence in context: A145276 A251008 A064820 * A230806 A032596 A032597 Adjacent sequences: A032592 A032593 A032594 * A032596 A032597 A032598 KEYWORD nonn,base,changed AUTHOR Patrick De Geest, May 15 1998 EXTENSIONS New name from Charles R Greathouse IV, Aug 11 2021 STATUS approved

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Last modified August 13 16:51 EDT 2024. Contains 375144 sequences. (Running on oeis4.)