A082371 Indices n such that the congruence prime(n)^x + prime(n+1)^x == prime(n+2) mod prime(n+3) has no solution.
2, 7, 9, 11, 16, 19, 20, 22, 23, 25, 28, 29, 30, 31, 32, 33, 35, 36, 37, 39, 40, 41, 45, 46, 49, 52, 54, 56, 62, 64, 66, 68, 69, 70, 79, 80, 81, 82, 83, 85, 88, 91, 96, 98, 102, 103, 108, 110, 114, 116, 117, 118, 119, 122, 123, 126, 131, 136, 143, 144, 148, 150, 154
Offset: 1
Examples
For index = 7 prime(7) = 17 and 17^x + 19^x ~= 23 mod 29 has no solutions.
Programs
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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" ")) ) }
Comments