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A271107
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Numbers n such that 33*10^n+1 is prime.
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0
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1, 2, 5, 6, 7, 8, 29, 47, 145, 205, 227, 505, 553, 600, 787, 809, 1305, 1447, 1593, 2285, 4763, 5679, 9133, 12516, 14869, 16536, 33402, 36085, 51933, 56443, 69133
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OFFSET
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1,2
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COMMENTS
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Numbers such that the digits 33 followed by n-1 occurrences of the digit 0 followed by the digit 1 is prime (see Example section).
a(32) > 10^5.
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LINKS
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EXAMPLE
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5 is in this sequence because 33*10^5+1 = 3300001 is prime.
Initial terms and primes associated:
a(1) = 1, 331;
a(2) = 2, 3301;
a(3) = 5, 3300001;
a(4) = 6, 33000001;
a(5) = 7, 330000001;
a(6) = 8, 3300000001, etc.
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MATHEMATICA
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Select[Range[0, 100000], PrimeQ[33*10^#+1] &]
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PROG
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(PARI) lista(nn) = for(n=1, nn, if(ispseudoprime(33*10^n+1), print1(n, ", "))); \\ Altug Alkan, Mar 31 2016
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CROSSREFS
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KEYWORD
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nonn,base,more
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AUTHOR
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STATUS
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approved
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