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Search: id:A121620
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| A121620 |
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Smallest Nexus prime of the form k^p - (k-1)^p, where p = Prime[n]. |
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6
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| 3, 7, 31, 127, 313968931, 8191, 131071, 524287, 777809294098524691, 68629840493971, 2147483647, 114867606414015793728780533209145917205659365404867510184121
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OFFSET
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1,1
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COMMENT
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All Mersenne primes of form 2^p-1 = {3,7,31,127,8191,...} belong to a(n). Mersenne prime A000668[n] = a(k) when Prime[k] = A000043[n]. Last digit is always 1 for Nexus numbers of form n^p - (n-1)^p with p = {5,13,17,29,37,41,53,61,73,89,97,101,...} = A004144[n] Pythagorean primes: primes of form 4n+1.
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CROSSREFS
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Cf. A121616, A121617, A121618, A121619, A022521, A022523, A004144, A000043, A000668.
Sequence in context: A136007 A084732 A123488 this_sequence A042271 A000644 A015459
Adjacent sequences: A121617 A121618 A121619 this_sequence A121621 A121622 A121623
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KEYWORD
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nonn
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AUTHOR
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Alexander Adamchuk (alex(AT)kolmogorov.com), Aug 10 2006
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