Search: id:A093355
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%I A093355
%S A093355 2,2,23,229,229344751,252545297,9094638268087,1668626479841609,
%T A093355 4673740355384057,138203643993672967,564009841283188392949,
%U A093355 2662112366008762371083,2372500135043479785725819
%N A093355 Beginning with 2, primes such that the n-th partial sum is an n-th power.
%C A093355 Requiring a(n+1)>a(n) leads to the finite sequence A073860. Not allowing 
               repetition leads to A073698. [From M. F. Hasler (MHasler(AT)univ-ag.fr), 
               Apr 07 2009]
%e A093355 2+2 = 4 = 2^2, 2+2+23 = 27 = 3^3.
%o A093355 (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 (MHasler(AT)univ-ag.fr), 
               Apr 07 2009]
%Y A093355 Cf. A093927.
%Y A093355 Cf. A073698, A073860. [From M. F. Hasler (MHasler(AT)univ-ag.fr), Apr 
               07 2009]
%Y A093355 Sequence in context: A001012 A040082 A014358 this_sequence A122962 A048648 
               A120065
%Y A093355 Adjacent sequences: A093352 A093353 A093354 this_sequence A093356 A093357 
               A093358
%K A093355 nonn
%O A093355 1,1
%A A093355 Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 25 2004
%E A093355 More terms from Ray G. Opao (1260(AT)email.com), Nov 29 2004

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