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Search: id:A082475
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| A082475 |
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Prime index i for prime quadruples p(i),p(i+1),p(i+2),p(i+3) that do not have a solution for the congruences p(i)^x+p(i+1)^x ~= p(i+2) mod p(i+3) and p(i+1)^x-p(i)^x ~= p(i+2) mod p(i+3). |
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+0
2
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| 2, 16, 20, 25, 29, 31, 33, 35, 36, 41, 45, 52, 62, 64, 79, 81, 83, 85, 88, 91, 96, 102, 103, 110, 114, 116, 117, 119, 122, 136, 154, 155, 164, 167, 172, 173, 183, 185, 188, 190, 211, 218, 219, 220, 225, 229, 231, 232, 233, 234, 238, 241, 246, 249, 252, 256, 262
(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
3^x+5^x ~= 7 mod 11 has no solutions.
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)^x ~= prime(i+2) mod prime(i+3) or \ prime(i+1)^x-prime(i)^x ~= prime(i+2) mod prime(i+3) or noaxpmbx(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 || (prime(p+1)^x-prime(p)^x-prime(p+2))%prime(p+3)==0, f=1) ); if(f==0, print1(p" ")) ) }
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CROSSREFS
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Cf. A082371.
Adjacent sequences: A082472 A082473 A082474 this_sequence A082476 A082477 A082478
Sequence in context: A101075 A022370 A050850 this_sequence A081767 A093026 A118954
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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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