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Search: id:A123091
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| A123091 |
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Numbers n such that n divides 5^n - 5. |
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+0
2
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| 1, 2, 3, 4, 5, 7, 10, 11, 13, 15, 17, 19, 20, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 65, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 124, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 190, 191, 193, 197, 199, 211, 217, 223, 227, 229, 233, 239
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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All primes are the terms of a(n). Nonprimes in a(n) are listed in A122782(n) = {1,4,10,15,20,65,124,190,217,310,435,561,781,...}. All pseudoprimes to base 5 are the terms of a(n). They are listed in A005936(n) = {4,124,217,561,781,...}. Numbers n up to 10^6 such that n divides 5^n + 5 are {1,2,5,6,10,30,70,1565,2806,3126,51670,58290,214405,285286,378258}.
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MATHEMATICA
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Select[Range[1000], IntegerQ[(PowerMod[5, #, # ]-5)/# ]&]
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CROSSREFS
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Cf. A122782 - Nonprimes n such that 5^n==5 (mod n). Cf. A005936 - Pseudoprimes to base 5. Cf. A067946 - Numbers n such that n divides 5^n-1. Cf. A015951 - Numbers n such that n | 5^n + 1.
Adjacent sequences: A123088 A123089 A123090 this_sequence A123092 A123093 A123094
Sequence in context: A117092 A002504 A133431 this_sequence A160512 A144430 A157082
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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), Nov 04 2006
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