|
Search: id:A122710
|
|
|
| A122710 |
|
Primes of the form p^2 + q^8 where p and q are primes. |
|
+0
1
|
|
| 281, 617, 1097, 1217, 5297, 10457, 17417, 19577, 23057, 32297, 39857, 44777, 52697, 72617, 167537
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
p and q cannot both be odd. Thus p=2 or q=2. There are no primes of the form 2^2 + q^8 (consider divisibility by 5). Hence all solutions are of the form p^2 + 2^8, and are congruent to 7 mod 10.
|
|
FORMULA
|
{a(n)} = {p^2 + q^8 in A000040 where p and q are in A000040}.
|
|
EXAMPLE
|
a(1) = 5^2 + 2^8 = 281.
a(2) = 19^2 + 2^8 = 617.
a(3) = 29^2 + 2^8 = 1097.
|
|
CROSSREFS
|
Cf. A000040, A045700 Primes of form p^2+q^3 where p and q are prime, A122617 Primes of form p^3+q^4 where p and q are primes.
Sequence in context: A056215 A142397 A142546 this_sequence A108836 A142937 A081424
Adjacent sequences: A122707 A122708 A122709 this_sequence A122711 A122712 A122713
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Jonathan Vos Post (jvospost2(AT)yahoo.com), Sep 23 2006
|
|
|
Search completed in 0.002 seconds
|
