A246562 - OEIS

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A246562

Primes p such that 4+p, 4+p^2, 4+p^3, 4+p^5, and 4+p^7 are all prime.

7, 469363, 2552713, 3378103, 6595597, 6629683, 39837517, 46024063, 46167307, 97371007, 97629403, 105528217, 136983307, 169483033, 202953613, 213792193, 216520987, 216738043, 221705647, 304033927, 317502193, 359133553

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

All terms are == {3, 7} mod 10. Subsequence of A246519.

LINKS

Zak Seidov, Table of n, a(n) for n = 1..60

MATHEMATICA

Select[Prime[Range[193*10^5]], AllTrue[#^{1, 2, 3, 5, 7}+4, PrimeQ]&] (* Harvey P. Dale, Sep 07 2024 *)

PROG

(PARI)

forprime(p=1, 10^9, if(ispseudoprime(4+p) && ispseudoprime(4+p^2) && ispseudoprime(4+p^3) && ispseudoprime(4+p^5) && ispseudoprime(4+p^7), print1(p, ", "))) \\ Derek Orr, Aug 30 2014

CROSSREFS

Cf. A007591, A073573, A125260, A172367, A246519.

Sequence in context: A003835 A138878 A050938 * A008849 A358812 A076914

Adjacent sequences: A246559 A246560 A246561 * A246563 A246564 A246565

KEYWORD

nonn

AUTHOR

Zak Seidov, Aug 29 2014

STATUS

approved