|
Search: id:A122782
|
|
|
| A122782 |
|
Nonprimes n such that 5^n==5 (mod n). |
|
+0
4
|
|
| 1, 4, 10, 15, 20, 65, 124, 190, 217, 310, 435, 561, 781, 1105, 1541, 1729, 1891, 2465, 2821, 3565, 3820, 4123, 4495, 5461, 5611, 5662, 5731, 6601, 6735, 7449, 7813, 8029, 8290, 8911, 9881, 10585, 11041, 11476, 12801, 13021, 13333, 13981, 14981
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
Theorem: If both numbers q and 2q-1 are primes then n=q*(2q-1) is in the sequence iff q=3 or q is of the form 10k+1. 15,1891,88831,146611,218791,721801,873181,... are such terms.
|
|
MATHEMATICA
|
Select[Range[15000], ! PrimeQ[ # ] && Mod[5^#, # ] == Mod[5, # ] &]
|
|
CROSSREFS
|
Cf. A005936.
Adjacent sequences: A122779 A122780 A122781 this_sequence A122783 A122784 A122785
Sequence in context: A123925 A106668 A063295 this_sequence A153515 A005662 A099457
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Farideh Firoozbakht (mymontain(AT)yahoo.com), Sep 12 2006
|
|
|
Search completed in 0.002 seconds
|
