

A090107


Values of n such that P[n]=n^279n+1601 is prime and also {P[n+1],...,P[n+101]} are prime numbers. Namely: a(n)= the first argument providing 10 "polynomially consecutive" primes with respect of polynomial=x^279x+1601 described by Escott in 1899.


4



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, 71, 106, 107
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,2


LINKS

Table of n, a(n) for n=1..71.


EXAMPLE

n=106 provides chain of 10 "polynomially consecutive" primes as follows:{4463, 4597, 4733, 4871, 5011, 5153, 5297, 5443, 5591, 5741}


CROSSREFS

Cf. A055561, A090562, A090563, A090101, A090102.
Sequence in context: A323048 A090109 A153671 * A130696 A146297 A296876
Adjacent sequences: A090104 A090105 A090106 * A090108 A090109 A090110


KEYWORD

nonn


AUTHOR

Labos Elemer, Dec 29 2003


STATUS

approved



