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A056994
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Numbers k such that k^128 + 1 is prime.
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37
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1, 120, 190, 234, 506, 532, 548, 960, 1738, 1786, 2884, 3000, 3420, 3476, 3658, 4258, 5788, 6080, 6562, 6750, 7692, 8296, 9108, 9356, 9582, 9706, 10238, 10994, 11338, 11432, 11466, 11554, 11778, 12704, 12766, 13082, 13478, 13700
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OFFSET
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1,2
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REFERENCES
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Dubner, Harvey. "Generalized Fermat primes." J. Recreational Math., 18 (1985): 279-280.
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LINKS
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MATHEMATICA
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Do[ k = 1; While[ PowerMod[ n, 128, 2*k*128 + 1 ] != 2*k*128 && k < 10^3, k++ ]; If[ k == 10^3 && PrimeQ[ n^128 + 1 ], Print[ n ] ], {n, 2, 15000, 2} ]
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PROG
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CROSSREFS
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Cf. A005574, A000068, A006314, A006313, A006315, A006316, A056995, A057465, A057002, A088361, A088362, A226528, A226529, A226530, A251597, A253854, A244150, A243959, A321323.
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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