|
Search: id:A106561
|
|
|
| A106561 |
|
Primes p for which the polynomial Q(x)=17*x^3+8*x^2+5*x+23 is reducible modulo p. |
|
+0
1
|
|
| 3, 7, 11, 13, 23, 29, 41, 47, 53, 59, 61, 67, 79, 89, 101, 107, 109, 113, 157, 163, 181, 191, 193, 197, 199, 223, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 283, 293, 307, 311, 313, 317, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
EXAMPLE
|
Q(2)=0 (mod 3), Q(5)=0 (mod 7), Q(7)=0 (mod 11).
|
|
MAPLE
|
sucesion_primos:=proc(Q, n) local p, x0, lista; lista:=[]; p:=2; while p<n do for x0 from 0 to p do if (eval(Q, x=x0) mod p=0) then lista:=[op(lista), p]; break else end if; end do; p:=nextprime(p); end do; return(lista); end proc;
|
|
PROGRAM
|
(PARI) X=Pol([17, 8, 5, 23]); forprime(p=2, 1000, if(matsize(factormod(X, p))[1]>1, print1(" ", p))) (Alekseyev)
|
|
CROSSREFS
|
Sequence in context: A059054 A109492 A095286 this_sequence A111363 A114273 A074336
Adjacent sequences: A106558 A106559 A106560 this_sequence A106562 A106563 A106564
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Rafael Gallardo Jimenez (thesecretwars(AT)yahoo.com), May 09 2005
|
|
EXTENSIONS
|
More terms from Max Alekseyev (maxale(AT)gmail.com), May 17 2005
|
|
|
Search completed in 0.002 seconds
|
