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A075781 Primes of the form perfect_power(n)+n. 1
2, 11, 13, 31, 59, 113, 313, 349, 659, 821, 1493, 1571, 1733, 3209, 3323, 5569, 7331, 7853, 10531, 13367, 17321, 21493, 21787, 25793, 30137, 31541, 36709, 39043, 39439, 44771, 46049, 49991, 55147, 55501, 56923, 57881, 58363, 59333, 65323 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..39.

EXAMPLE

11 is OK: 11 = perfect_power(3) + 3 = 8 + 3, perfect_power(n) is n-th perfect power: A001597(n).

31 is OK: 31 = perfect_power(6) + 6 = 25 + 6; 59 is OK: 59 = perfect_power(10) + 10 = 49 + 10.

PROG

(PARI) lista(nn) = {vec = vector(nn, i, i); pp = select(i->((ispower(i) || (i==1))), vec); for (i = 1, #pp, if (isprime(pp[i]+i), print1(pp[i]+i, ", ")); ); } \\ Michel Marcus, Oct 03 2013

CROSSREFS

Cf. A001597.

Sequence in context: A242776 A105887 A019407 * A023288 A106960 A084405

Adjacent sequences:  A075778 A075779 A075780 * A075782 A075783 A075784

KEYWORD

nonn

AUTHOR

Zak Seidov, Oct 10 2002

STATUS

approved

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Last modified December 5 10:11 EST 2021. Contains 349543 sequences. (Running on oeis4.)