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A286434
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Numbers k such that (2*10^k - 59)/3 is prime.
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0
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2, 3, 6, 9, 10, 14, 15, 34, 56, 138, 250, 350, 357, 374, 392, 1594, 4794, 5290, 6702, 11936, 22296, 55762, 55834, 96195
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OFFSET
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1,1
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COMMENTS
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For k>1, numbers such that k-2 occurrences of the digit 6 followed by the digits 47 is prime (see Example section).
a(25) > 2*10^5.
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LINKS
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EXAMPLE
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3 is in this sequence because (2*10^3 - 59)/3 = 647 is prime.
Initial terms and primes associated:
a(1) = 2, 47;
a(2) = 3, 647;
a(3) = 6, 666647;
a(4) = 9, 666666647;
a(5) = 10, 6666666647; etc.
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MATHEMATICA
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Select[Range[2, 100000], PrimeQ[(2*10^# - 59)/3] &]
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PROG
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(PARI) isok(k) = isprime((2*10^k-59)/3); \\ Michel Marcus, Mar 06 2018
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CROSSREFS
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KEYWORD
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nonn,more,hard
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AUTHOR
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STATUS
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approved
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