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 A348267 Primes of the form q^3+r^5+s^7, where q,r,s are consecutive primes. 2
 19504103, 410711297, 895293793, 19205982415663, 27139128435043, 122997897555661, 2351321783571193, 33026024797765183, 44544286011297461, 257023170905666323, 630639912549644209, 896737512757442999, 2267254920439040789, 2344105012311523369, 25786002910400593997 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Exponent values (3,5,7) given by the prime triplet of the form p,p+2,p+4. LINKS Table of n, a(n) for n=1..15. EXAMPLE 19504103 is a term because 5^3+7^5+11^7 = 19504103 is prime; 410711297 is a term because 11^3+13^5+17^7 = 410711297 is prime. MATHEMATICA Select[(#[[1]]^3 + #[[2]]^5 + #[[3]]^7) & /@ Partition[Select[Range[1000], PrimeQ], 3, 1], PrimeQ] (* Amiram Eldar, Oct 11 2021 *) PROG (Sage) def Q3R5S7(x): return Primes().unrank(x)^3+Primes().unrank(x+1)^5+Primes().unrank(x+2)^7 A348267 = [Q3R5S7(x) for x in range(0, 10^3) if Q3R5S7(x) in Primes()] CROSSREFS Cf. A000040, A348313, A259772, A304292. Sequence in context: A017287 A017395 A017659 * A172767 A122557 A284101 Adjacent sequences: A348264 A348265 A348266 * A348268 A348269 A348270 KEYWORD nonn AUTHOR Dumitru Damian, Oct 09 2021 STATUS approved

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)