

A090108


Values of n such that P[n]=n^279n+1601 is prime and also {P[n+1],...,P[n+91]} are prime numbers. Namely: a(n)= the first argument providing 9 "polynomially consecutive" primes with respect of polynomial=x^279x+1601 described by Escott in 1899.


1



1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 106
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OFFSET

1,2


LINKS

Table of n, a(n) for n=1..72.


EXAMPLE

n=263 provides chain of 9 "polynomially consecutive" primes as follows:{49993, 50441, 50891, 51343, 51797, 52253, 52711, 53171, 53633}


CROSSREFS

Cf. A055561, A090562, A090563, A090101, A090102, A090107.
Sequence in context: A033619 A130734 A244581 * A090109 A153671 A090107
Adjacent sequences: A090105 A090106 A090107 * A090109 A090110 A090111


KEYWORD

nonn


AUTHOR

Labos Elemer, Dec 29 2003


STATUS

approved



