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A281903 Numbers k such that 6*10^k + 37 is prime. 0
0, 1, 3, 4, 10, 16, 18, 19, 33, 54, 75, 95, 268, 407, 539, 547, 661, 1445, 1559, 2634, 3316, 7047, 10299, 10911, 19528, 29603, 38668 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
COMMENTS
For k>1, numbers such that the digit 6 followed by k-2 occurrences of the digit 0 followed by the digits 37 is prime (see Example section).
a(28) > 2*10^5.
LINKS
Makoto Kamada, Search for 60w37.
EXAMPLE
3 is in this sequence because 6*10^3 + 37 = 6037 is prime.
Initial terms and primes associated:
a(1) = 0, 43;
a(2) = 1, 97;
a(3) = 3, 6037;
a(4) = 4, 60037;
a(5) = 10, 60000000037; etc.
MATHEMATICA
Select[Range[0, 100000], PrimeQ[6*10^# + 37] &]
PROG
(PARI) isok(k) = isprime(6*10^k + 37); \\ Michel Marcus, Dec 10 2018
CROSSREFS
Sequence in context: A188022 A007007 A037952 * A093512 A081160 A051437
KEYWORD
nonn,more,hard
AUTHOR
Robert Price, Feb 01 2017
STATUS
approved

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Last modified March 29 10:22 EDT 2024. Contains 371268 sequences. (Running on oeis4.)