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A096469
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a(n)is the smallest number m such that the concatenation of n+1 numbers m^0, m^1,..., m^(n-1), m^n is a prime.
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0
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1, 3, 33, 23, 237, 93, 37, 291, 421, 7, 471, 213, 1941, 29, 43, 17, 327, 1, 523, 21, 3403, 1, 13281, 3851, 3583, 3081, 1681, 157, 34989, 5411, 2431, 1229, 4767, 1021, 8397, 603, 429, 561, 6571, 47, 8601, 347, 15027, 687, 1611, 273, 29979, 201, 5719
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OFFSET
| 1,2
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COMMENTS
| Conjecture: This sequence is infinite.
a(n)=1 iff n+1 is in the sequence A004023, so a(1)=a(18)=a(22)=a(316)=a(1030)=a(49080)=a(86452)=1 and there are no other n less than 86453 such that a(n)=1. Every term of this sequence is odd and for each n, 5 doesn't divide a(n). a(50) is greater than 11111.
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EXAMPLE
| a(3)=33 because 33^0=1; 33^1=33; 33^2=1089; 33^3=35937; 133108935937 is a prime and 33 is the smallest such number.
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CROSSREFS
| Cf. A096470, A096471, A004023.
Sequence in context: A054780 A203323 A134474 * A106423 A077328 A106413
Adjacent sequences: A096466 A096467 A096468 * A096470 A096471 A096472
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KEYWORD
| base,nonn
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AUTHOR
| Farideh Firoozbakht (mymontain(AT)yahoo.com), Jun 23 2004
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