|
Search: id:A070523
|
|
|
| A070523 |
|
Cyclotomic[n, Prime[n]] is a prime number. |
|
+0
2
|
|
| 3, 6, 7, 14, 19, 31, 34, 66, 93, 307, 402, 421, 600, 848, 1022, 1057, 1906
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Values corresponding to a(3)=7 through a(13)=600 have been certified prime with Primo. Their sizes in decimal digits are 8, 10, 33, 64, 35, 51, 162, 1012, 455, 1455 and 584, respectively. Values corresponding to a(14) through a(17) are probable primes with lengths 1588, 1689, 3535 and 4014 decimal digits. a(18)>2000. - Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jul 10 2002
|
|
EXAMPLE
|
n=7: C[7, x]=1+x+xx+xxx+xxxx+xxxxx+xxxxxx at x=p(7)=17 gives a prime 25646167.
|
|
PROGRAM
|
(PARI) for(n=1, 2000, x=prime(n); if(isprime(eval(polcyclo(n))), print1(n, ", ")))
|
|
CROSSREFS
|
Cf. A070518-A070522.
Sequence in context: A037015 A138218 A056055 this_sequence A139247 A124611 A043305
Adjacent sequences: A070520 A070521 A070522 this_sequence A070524 A070525 A070526
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Labos E. (labos(AT)ana.sote.hu), May 02 2002
|
|
EXTENSIONS
|
More terms from Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jul 10 2002
|
|
|
Search completed in 0.002 seconds
|
