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A271819 Primes of the form 159587584529 + 2*n^2. 4
159587584529, 159587584531, 159587584537, 159587584547, 159587584561, 159587584579, 159587584601, 159587584627, 159587584657, 159587584691, 159587584729, 159587584771, 159587585107, 159587585329, 159587585681, 159587585881, 159587586097, 159587586451, 159587586707, 159587586979 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The first 12 primes correspond to the values of n from 0 to 11. The first term is a member of A271348.

LINKS

Table of n, a(n) for n=1..20.

Eric Weisstein's World of Mathematics, Prime-generating Polynomial

EXAMPLE

For n=0, we get 159587584529, which is a prime as determined in A271348.

For n=1, we get 159587584529 + 2*1^2 = 159587584531, which is a prime as determined in A271348.

MATHEMATICA

Select[Table[159587584529+2*n^2, {n, 0, 100}], PrimeQ]

PROG

(PARI) for(n=0, 100, isprime(159587584529+2*n^2) && print1(159587584529+2*n^2, ", "))

CROSSREFS

Cf. A000040 (primes), A271348 (contains the first term), A050265, A007641, A271366, A271818, A271820 (similar sequences whose first term is in A271348).

Sequence in context: A234379 A290157 A288283 * A233503 A241501 A197633

Adjacent sequences:  A271816 A271817 A271818 * A271820 A271821 A271822

KEYWORD

nonn

AUTHOR

Waldemar Puszkarz, Apr 14 2016

STATUS

approved

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Last modified August 19 01:21 EDT 2017. Contains 290786 sequences.