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A003627 Primes of form 3n-1.
(Formerly M1388)
+0
25
2, 5, 11, 17, 23, 29, 41, 47, 53, 59, 71, 83, 89, 101, 107, 113, 131, 137, 149, 167, 173, 179, 191, 197, 227, 233, 239, 251, 257, 263, 269, 281, 293, 311, 317, 347, 353, 359, 383, 389, 401, 419, 431, 443, 449, 461, 467, 479, 491, 503, 509, 521, 557, 563, 569, 587 (list; graph; listen)
OFFSET

1,1

COMMENT

Primes p dividing sum(k=0,p,C(2k,k)) -1 = A006134(p)-1 - Benoit Cloitre (benoit7848c(AT)orange.fr), Feb 08 2003

A039701(A049084(a(n))) = 2; A134323(A049084(a(n))) = -1. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 21 2007

REFERENCES

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 870.

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, December 1972 [alternative scanned copy].

A. Granville and G. Martin, Prime number races

Eric Weisstein's World of Mathematics, Eisenstein Prime

MAPLE

t1 := {}; for n from 0 to 500 do if isprime(3*n+2) then t1 := {op(t1), 3*n+2}; fi; od: A003627 := convert(t1, list);

CROSSREFS

Primes of form 3n+1 give A002476.

These are the primes arising in A024893, A087370, A088879, A091177 gives prime index.

Adjacent sequences: A003624 A003625 A003626 this_sequence A003628 A003629 A003630

Sequence in context: A136244 A118754 A067775 this_sequence A103203 A105875 A031368

KEYWORD

nonn,easy

AUTHOR

njas and Mira Bernstein

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Last modified May 15 13:16 EDT 2008. Contains 139641 sequences.


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