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A298699 Primes of the form A132583(k)*42 - 43. 0
419, 5039, 51239, 513239, 5133239, 51333239, 5133333333333239, 513333333333333239, 5133333333333333333239, 5133333333333333333333239, 513333333333333333333333239, 513333333333333333333333333333333333333333333333239 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The corresponding values of k are 0, 1, 2, 3, 4, 5, 13, 15, 19, 22, 24, 48, 59, 187, 215, 232. - Bruno Berselli, Jan 29 2018

Further values of k (below 4000): 394, 441, 506, 541, 569, 1456, 2136, 3510. - Daniel Starodubtsev, Jan 05 2020

LINKS

Table of n, a(n) for n=1..12.

EXAMPLE

5039 is prime and 5039 = 121*42 - 43, hence it is in the sequence.

51239 is prime and 51239 = 1221*42 - 43, hence it is in the sequence.

513333239 = 12222221*42 - 43 = 61*1747*4817 is not prime, therefore it is not in the sequence.

MATHEMATICA

Select[42 NestList[10 # + 11 &, 11, 50] - 43, PrimeQ] (* Michael De Vlieger, Feb 01 2018, after Harvey P. Dale at A132583 *)

CROSSREFS

Cf. A003020, A132583.

Sequence in context: A255097 A130737 A242326 * A187218 A239253 A061118

Adjacent sequences:  A298696 A298697 A298698 * A298700 A298701 A298702

KEYWORD

nonn,base,less,more

AUTHOR

Paolo Galliani, Jan 27 2018

EXTENSIONS

a(8)-a(12) from Bruno Berselli, Jan 29 2018

STATUS

approved

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Last modified July 30 22:16 EDT 2021. Contains 346365 sequences. (Running on oeis4.)