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A271375 Numbers k such that (38*10^k + 637)/9 is prime. 0
1, 4, 14, 19, 25, 26, 32, 41, 59, 79, 83, 101, 103, 200, 308, 314, 548, 565, 620, 922, 1102, 1960, 2245, 2254, 5393, 5935, 6227, 14350, 25070 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

For k>1, numbers such that the digit 4 followed by k-2 occurrences of the digit 2 followed by the digits 93 is prime (see Example section).

a(30) > 2*10^5.

LINKS

Table of n, a(n) for n=1..29.

Makoto Kamada, Search for 42w93.

EXAMPLE

4 is in this sequence because (38*10^4+637)/9 = 42293 is prime.

Initial terms and primes associated:

a(1) = 1, 113;

a(2) = 4, 42293;

a(3) = 14, 422222222222293;

a(4) = 19, 42222222222222222293;

a(5) = 25, 42222222222222222222222293, etc.

MATHEMATICA

Select[Range[0, 100000], PrimeQ[(38*10^# + 637)/9] &]

PROG

(PARI) lista(nn) = for(n=1, nn, if(ispseudoprime((38*10^n + 637)/9), print1(n, ", "))); \\ Altug Alkan, Apr 05 2016

CROSSREFS

Cf. A056654, A268448, A269303, A270339, A270613, A270831, A270890, A270929, A271269.

Sequence in context: A022383 A336634 A045248 * A070902 A059007 A035401

Adjacent sequences:  A271372 A271373 A271374 * A271376 A271377 A271378

KEYWORD

nonn,more

AUTHOR

Robert Price, Apr 05 2016

STATUS

approved

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Last modified October 22 16:15 EDT 2021. Contains 348174 sequences. (Running on oeis4.)