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A295326
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Numbers k such that (182*10^k + 43)/9 is prime.
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0
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2, 6, 14, 17, 27, 86, 104, 107, 132, 300, 374, 405, 497, 1179, 1994, 4274, 5252, 17939, 39534, 82898, 85017, 106083
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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 the digits 20 followed by k-1 occurrences of the digit 2 followed by the digit 7 is prime (see Example section).
a(23) > 2*10^5.
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LINKS
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EXAMPLE
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2 is in this sequence because (182*10^2 + 43)/9 = 2027 is prime.
Initial terms and primes associated:
a(1) = 2, 2027;
a(2) = 6, 20222227;
a(3) = 14, 2022222222222227;
a(4) = 17, 2022222222222222227;
a(5) = 27, 20222222222222222222222222227; etc.
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MATHEMATICA
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Select[Range[0, 100000], PrimeQ[(182*10^# + 43)/9] &]
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PROG
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(PARI) isok(k) = isprime((182*10^k + 43)/9); \\ Michel Marcus, Nov 20 2017
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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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EXTENSIONS
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STATUS
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approved
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