|
|
A038511
|
|
Composite numbers with smallest prime factor >= 11.
|
|
10
|
|
|
121, 143, 169, 187, 209, 221, 247, 253, 289, 299, 319, 323, 341, 361, 377, 391, 403, 407, 437, 451, 473, 481, 493, 517, 527, 529, 533, 551, 559, 583, 589, 611, 629, 649, 667, 671, 689, 697, 703, 713, 731, 737, 767, 779, 781, 793, 799, 803, 817, 841, 851
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Composite n such that n^6 is congruent to {1, 169} mod 210. All primes > 7 satisfy this condition. - Gary Detlefs, Dec 09 2012
|
|
LINKS
|
|
|
FORMULA
|
|
|
MAPLE
|
for n from 1 to 1000 do if (n^6 mod 210 = 1 or n^6 mod 210 = 169) and not isprime(n) then print(n) fi od; # Gary Detlefs, Dec 09 2012
|
|
MATHEMATICA
|
Select[Range[1000], Not[PrimeQ[#]] && FactorInteger[#][[1, 1]] > 7 &] (* Alonso del Arte, Dec 09 2012 *)
|
|
PROG
|
(GAP) Filtered([11..1000], n->(PowerMod(n, 6, 210)=1 or PowerMod(n, 6, 210)=169) and not IsPrime(n)); # Muniru A Asiru, Nov 24 2018
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|