|
Search: id:A042978
|
|
|
| A042978 |
|
Stern primes: primes not of the form p+2b^2 for p prime and b>0. |
|
+0
6
|
| |
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
No others < 1299709. Are there any others? Related to a conjecture of Goldbach.
The next element of the sequence, if it exists, is larger than 1e9 ; see A060003. - M. F. Hasler (Maximilian.Hasler(AT)gmail.com), Nov 16 2007
The next element, if it exists, is larger than 2e13. - Benjamin Chaffin (chaffin(AT)gmail.com), Mar 28 2008
|
|
REFERENCES
|
J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 137, p. 46, Ellipses, Paris 2008.
L. E. Dickson, History of the theory of Numbers, vol. 1, page 424.
|
|
LINKS
|
L. Hodges, A lesser-known Goldbach conjecture, Math. Mag., 66 (1993), 45-47.
Mark VandeWettering, Toying with a lesser known Goldbach Conjecture
Index entries for sequences related to Goldbach conjecture
|
|
PROGRAM
|
(PARI) forprime( n=1, default(primelimit), for(s=1, sqrtint(n\2), if(isprime(n-2*s^2), next(2))); print(n)) - M. F. Hasler (Maximilian.Hasler(AT)gmail.com), Nov 16 2007
|
|
CROSSREFS
|
Cf. A060003.
Sequence in context: A056794 A135726 A164816 this_sequence A089675 A041383 A042903
Adjacent sequences: A042975 A042976 A042977 this_sequence A042979 A042980 A042981
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Jud McCranie (j.mccranie(AT)comcast.net)
|
|
|
Search completed in 0.002 seconds
|
