|
Search: id:A122103
|
|
|
| A122103 |
|
Sum[ Prime[k]^5, {k,1,n} ]. |
|
+0
17
|
|
| 32, 275, 3400, 20207, 181258, 552551, 1972408, 4448507, 10884850, 31395999, 60025150, 129369107, 245225308, 392233751, 621578758, 1039774251, 1754698550, 2599294851, 3949419958, 5753649309, 7826720902, 10903777301, 14842817944
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
a(n) is prime for n = {66, 148, 150, 164, 174, 214, 238, 264, 312, 328, 354, 440, 516, 536, 616, 624, 724, 744, 774, 836, 940, ...} = A122125. Primes of form Sum[ Prime[k]^5, {k, 1, n}] are listed in A122126 = {32353461605953, 9874820441996857, 10821208357045699, ...}.
|
|
FORMULA
|
a(n) = Sum[ Prime[k]^5, {k,1,n} ].
|
|
MATHEMATICA
|
Table[Sum[Prime[k]^5, {k, 1, n}], {n, 1, 100}]
|
|
CROSSREFS
|
Cf. A007504, A024450, A098999, A122102, A122125, A122126.
Sequence in context: A022327 A125369 A126527 this_sequence A009526 A060158 A074469
Adjacent sequences: A122100 A122101 A122102 this_sequence A122104 A122105 A122106
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Alexander Adamchuk (alex(AT)kolmogorov.com), Aug 20 2006
|
|
|
Search completed in 0.002 seconds
|
