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A103806 Primes p such that both 2p +/- 33 are primes. 3
2, 5, 7, 13, 19, 23, 37, 47, 53, 67, 73, 103, 137, 157, 163, 173, 193, 227, 233, 277, 313, 347, 353, 397, 443, 457, 613, 733, 863, 877, 983, 1087, 1153, 1213, 1327, 1447, 1493, 1733, 1747, 1787, 1867, 2053, 2063, 2153, 2237, 2377, 2383, 2503, 2557, 2657, 2683 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

If, e.g., -29 is not prime (Mathematica considers -prime as prime), then the first four terms should be omitted.

LINKS

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

FORMULA

p, 2p-33 and 2p+33 all are primes.

MATHEMATICA

Select[Range[2000], PrimeQ[ # ] && PrimeQ[2# + 33] && PrimeQ[2# - 33] &]

Select[Prime[Range[400]], AllTrue[2#+{33, -33}, PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Sep 10 2016 *)

PROG

(MAGMA) [p: p in PrimesUpTo(3000)| IsPrime(2*p+33) and IsPrime(2*p-33) ] [From Vincenzo Librandi, Jan 28 2011]

CROSSREFS

Cf. A103802, A103803, A103804, A103805.

Sequence in context: A038985 A109652 A045354 * A019359 A038959 A069351

Adjacent sequences:  A103803 A103804 A103805 * A103807 A103808 A103809

KEYWORD

nonn

AUTHOR

Zak Seidov, Feb 16 2005

STATUS

approved

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Last modified November 21 16:27 EST 2017. Contains 295003 sequences.