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A122102 Sum[ Prime[k]^4, {k,1,n} ]. +0
18
16, 97, 722, 3123, 17764, 46325, 129846, 260167, 540008, 1247289, 2170810, 4044971, 6870732, 10289533, 15169214, 23059695, 35177056, 49022897, 69174018, 94585699, 122983940, 161934021, 209392342, 272134583, 360663864, 464724265 (list; graph; listen)
OFFSET

1,1

COMMENT

a(n) is prime for n = {2,32,90,110,134,152,168,180,194,212,222,234,270,290,300,...} = A122127.

FORMULA

a(n) = Sum[ Prime[k]^4, {k,1,n} ].

MATHEMATICA

Table[Sum[Prime[k]^4, {k, 1, n}], {n, 1, 100}]

CROSSREFS

Cf. A007504, A024450, A098999, A122103, A122127.

Adjacent sequences: A122099 A122100 A122101 this_sequence A122103 A122104 A122105

Sequence in context: A044267 A044648 A041488 this_sequence A014762 A045784 A016958

KEYWORD

nonn

AUTHOR

Alexander Adamchuk (alex(AT)kolmogorov.com), Aug 20 2006

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Last modified October 11 13:47 EDT 2008. Contains 144830 sequences.


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