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Search: id:A082373
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| A082373 |
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Prime quadruples p1,p2,p3,p4 that do not have a solution for the congruence p1^x + p2^x ~= p3 mod p4. |
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+0
1
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| 3, 5, 7, 11, 17, 19, 23, 29, 23, 29, 31, 37, 31, 37, 41, 43, 53, 59, 61, 67, 67, 71, 73, 79, 71, 73, 79, 83, 79, 83, 89, 97, 83, 89, 97, 101, 97, 101, 103, 107, 107, 109, 113, 127, 109, 113, 127, 131, 113, 127, 131, 137, 127, 131, 137, 139, 131, 137, 139, 149, 137
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Note over lapping primes between successive quadruples.
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EXAMPLE
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For prime 17 17^x + 19^x ~= 23 mod 29 has no solutions.
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PROGRAM
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(PARI) \No solutions to prime(i)^x+prime(i+1)^x ~= prime(i+2) mod prime(i+3) noanpbn(m, n) = { for(p=1, m, f=0; for(x=0, n, if((prime(p)^x+prime(p+1)^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: A082370 A082371 A082372 this_sequence A082374 A082375 A082376
Sequence in context: A052003 A019449 A094615 this_sequence A116959 A091305 A085498
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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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