A007693 - OEIS

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A007693

Primes p such that 6*p + 1 is also prime.
(Formerly M0656)

2, 3, 5, 7, 11, 13, 17, 23, 37, 47, 61, 73, 83, 101, 103, 107, 131, 137, 151, 173, 181, 233, 241, 257, 263, 271, 277, 283, 293, 311, 313, 331, 347, 367, 373, 397, 443, 461, 467, 503, 557, 577, 593, 601, 607, 641, 653, 661, 683, 727, 751, 761, 773, 787, 797, 853

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

OFFSET

1,1

REFERENCES

J. Roberts, Lure of the Integers, Math. Assoc. America, 1992, p. 27983

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Andrew Granville, Sophie Germain's theorem for prime pairs p, 6p+1, J. Number Theory 27 (1987), no. 1, 63-72.

FORMULA

a(n) = (A051644(n)-1)/6.

MATHEMATICA