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A093355
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Beginning with 2, primes such that the n-th partial sum is an n-th power.
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3
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2, 2, 23, 229, 229344751, 252545297, 9094638268087, 1668626479841609, 4673740355384057, 138203643993672967, 564009841283188392949, 2662112366008762371083, 2372500135043479785725819
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Requiring a(n+1)>a(n) leads to the finite sequence A073860. Not allowing repetition leads to A073698. [From M. F. Hasler (www.univ-ag.fr/~mhasler), Apr 07 2009]
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EXAMPLE
| 2+2 = 4 = 2^2, 2+2+23 = 27 = 3^3.
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PROG
| (PARI) s=0; for( n=1, 999, t=floor(sqrtn(s, n)); until( isprime( t++^n-s), ); print1( t^n-s, ", "); s=t^n) [From M. F. Hasler (www.univ-ag.fr/~mhasler), Apr 07 2009]
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CROSSREFS
| Cf. A093927.
Cf. A073698, A073860. [From M. F. Hasler (www.univ-ag.fr/~mhasler), Apr 07 2009]
Sequence in context: A001012 A040082 A014358 * A122962 A048648 A120065
Adjacent sequences: A093352 A093353 A093354 * A093356 A093357 A093358
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KEYWORD
| nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 25 2004
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EXTENSIONS
| More terms from Ray G. Opao (1260(AT)email.com), Nov 29 2004
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