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A084428
Numbers n such that n 7's followed by n is prime.
7
1, 23, 209, 1171, 6239, 7543
OFFSET
1,2
COMMENTS
a(7) > 15000. - Derek Orr, Jul 29 2014
a(7) > 10^5. - Robert Price, Apr 05 2019
EXAMPLE
23 is in the sequence because 7777777777777777777777723(23 7's followed by 23) is prime.
MATHEMATICA
Do[ If[GCD[n, 30] == 1 && PrimeQ[ FromDigits[ Join[ Table[7, {n}], IntegerDigits[n]]]], Print[n]], {n, 1, 6500}]
PROG
(PARI)
for(n=1, 15000, p=""; for(k=1, n, p=concat(p, Str(7))); p=concat(p, Str(n)); if(ispseudoprime(eval(p)), print1(n, ", "))) \\ Derek Orr, Jul 29 2014
CROSSREFS
Sequence in context: A022683 A042020 A263521 * A322287 A327918 A327919
KEYWORD
nonn,base,more,hard
AUTHOR
Farideh Firoozbakht, Jun 27 2003
EXTENSIONS
a(6) from Derek Orr, Jul 29 2014
STATUS
approved