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A124596 Primes p such that q-p = 30, where q is the next prime after p. +0
2
4297, 4831, 5351, 5749, 6491, 6917, 7253, 7759, 7963, 8389, 8893, 13063, 13187, 13933, 13967, 14251, 14983, 16381, 16573, 17627, 18553, 18869, 20563, 21283, 21347, 21617, 23633, 23689, 24251, 25189, 26053, 26597, 27299, 27367, 27551, 28319, 28979, 29537 (list; graph; listen)
OFFSET

1,1

COMMENT

Primes p such that r-q=q-p=30, where p, q, r are three successive primes, are 69593, 110651, 134609, 228647, 237791, 250889, 303157, 24907. Primes p such that s-r=r-q=q-p=30, where p, q, r, s are four successive primes, are 642427, 1058861, 3431903, 4176587, 4560121, 4721047, 5072269, 5145403, 5669099, 5893141, 6248969, 6285047, 6503179, 6682969. Zak Seidov, Dec 20 2006

REFERENCES

K. Soundararajan, Small gaps bewteen prime numbers: the work of Goldston-Pintz-Yildirim, Bull. Amer. Math. Soc., 44 (2007), 1-18.

LINKS

Remi Eismann, Table of n, a(n) for n = 1..10000.

Index entries for primes, gaps between

CROSSREFS

Adjacent sequences: A124593 A124594 A124595 this_sequence A124597 A124598 A124599

Sequence in context: A138399 A023346 A101619 this_sequence A055153 A141644 A008409

KEYWORD

nonn

AUTHOR

njas, Dec 19 2006

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Last modified October 7 08:31 EDT 2008. Contains 144667 sequences.


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