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Search: id:A082376
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| A082376 |
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First prime in the prime quadruple p1,p2,p3,p4 that do not have a solution for the congruence p2^x - p1^x ~= p3 mod p4. |
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+0
1
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| 3, 13, 53, 59, 61, 71, 73, 97, 109, 127, 137, 149, 151, 179, 197, 239, 241, 277, 283, 293, 311, 313, 389, 401, 419, 431, 433, 439, 457, 463, 467, 491, 499, 503, 541, 547, 557, 563, 569, 577, 601, 619, 641, 643, 653, 673, 743, 769, 773, 797, 853, 881, 887, 907, 911, 919, 929, 971, 991, 1021, 1031
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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For prime quadruple 3,5,7,11 5^x-3^x ~= 7 mod 11 has no solutions.
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PROGRAM
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(PARI) \solutions to prime(i+1)^x-prime(i+1)^x ~= prime(i+2) mod prime(i+3) noanmbn(m, n) = { for(p=1, m, f=0; for(x=0, n, if((prime(p+1)^x-prime(p)^x-prime(p+2))%prime(p+3)==0, f=1) ); if(f==0, print1(prime(p)" ")) ) }
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CROSSREFS
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Cf. A082371.
Sequence in context: A037660 A122600 A063682 this_sequence A065059 A072197 A065838
Adjacent sequences: A082373 A082374 A082375 this_sequence A082377 A082378 A082379
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KEYWORD
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easy,nonn,uned
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AUTHOR
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Cino Hilliard (hillcino368(AT)gmail.com), May 11 2003
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