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Search: id:A007700
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| A007700 |
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n, 2n+1, 4n+3 all prime.
(Formerly M1406)
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+0
45
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| 2, 5, 11, 41, 89, 179, 359, 509, 719, 1019, 1031, 1229, 1409, 1451, 1481, 1511, 1811, 1889, 1901, 1931, 2459, 2699, 2819, 3449, 3491, 3539, 3821, 3911, 5081, 5399, 5441, 5849, 6101, 6131, 6449, 7079, 7151, 7349, 7901
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Primes 2n+1 and 4n+3 respectively have n-1 and 2n primitive roots. - Lekraj Beedassy (blekraj(AT)yahoo.com), Jan 07 2005
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REFERENCES
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L. Blum; M. Blum; M. Shub, A simple unpredictable pseudorandom number generator. SIAM J. Comput. 15 (1986), no. 2, 364-383.
T. Moreau, personal communication.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..10000
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MAPLE
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A007700 := proc(n) local p1, p2; p1 := 2*n+1; p2 := 2*p1+1; if isprime(n) = true and isprime(p1)=true and isprime(p2)=true then RETURN(n); fi; end;
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MATHEMATICA
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Select[Range[10^3*3], PrimeQ[ # ]&&PrimeQ[2*#+1]&&PrimeQ[4*#+3] &] (from Vladimir Orlovsky (4vladimir(AT)gmail.com), Apr 29 2008)
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CROSSREFS
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Cf. (A005384 and A005385), A023272, A023302, A023330, A057331, A005602.
Sequence in context: A056302 A065850 A106886 this_sequence A071313 A128231 A121981
Adjacent sequences: A007697 A007698 A007699 this_sequence A007701 A007702 A007703
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KEYWORD
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nonn
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AUTHOR
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njas, Simon Plouffe (plouffe(AT)math.uqam.ca)
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