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A130063
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Primes p such that p divides 3^((p+1)/2) - 2^((p+1)/2) - 1.
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4
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23, 47, 71, 73, 97, 167, 191, 193, 239, 241, 263, 311, 313, 337, 359, 383, 409, 431, 433, 457, 479, 503, 577, 599, 601, 647, 673, 719, 743, 769, 839, 863, 887, 911, 937, 983, 1009, 1031, 1033, 1103, 1129, 1151, 1153, 1201, 1223, 1249, 1297, 1319, 1321, 1367
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OFFSET
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1,1
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COMMENTS
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Primes = 1 or 23 mod 24. Hence, together with 2, primes such that (2/p) = 1 = (3/p) where (k/p) is the Legendre symbol. - Charles R Greathouse IV, Apr 06 2012
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LINKS
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MATHEMATICA
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Select[ Range[2000], PrimeQ[ # ]&&Mod[ PowerMod[3, (#+1)/2, # ] - PowerMod[2, (#+1)/2, # ] - 1, # ]==0&]
Select[Prime[Range[250]], Divisible[3^((#+1)/2)-2^((#+1)/2)-1, #]&] (* Harvey P. Dale, Mar 21 2021 *)
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PROG
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CROSSREFS
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Cf. A097934 = Primes p such that p divides 3^((p-1)/2) - 2^((p-1)/2).
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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