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Search: id:A164336
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| A164336 |
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a(1)=1. Thereafter, all terms are primes raised to the values of earlier terms of the sequence. |
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2
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| 1, 2, 3, 4, 5, 7, 8, 9, 11, 13, 16, 17, 19, 23, 25, 27, 29, 31, 32, 37, 41, 43, 47, 49, 53, 59, 61, 67, 71, 73, 79, 81, 83, 89, 97, 101, 103, 107, 109, 113, 121, 125, 127, 128, 131, 137, 139, 149, 151, 157, 163, 167, 169, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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These are the values of exponent towers consisting completely of primes coefficients. (For example, p^(q^(r^(s^..))), all variables being primes.) This sequence first differs from the terms of A096165, after the initial 1 in this sequence, when 18446744073709551616 = 2^64 occurs in A096165 but not in this sequence.
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PROGRAM
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(PARI) L=1000; S=[1]; SS=[]; while(#S!=#SS, SS=S; S=[]; for(i=1, #SS, forprime(p=2, floor(L^(1/SS[i])), S=concat(S, p^SS[i]))); S=eval(setunion(S, SS))); vecsort(S) [From Hagen von Eitzen (math(AT)von-eitzen.de), Oct 03 2009]
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CROSSREFS
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A164337, A096165
Sequence in context: A000961 A128603 A096165 this_sequence A115919 A038701 A127072
Adjacent sequences: A164333 A164334 A164335 this_sequence A164337 A164338 A164339
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KEYWORD
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nonn
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AUTHOR
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Leroy Quet (q1qq2qqq3qqqq(AT)yahoo.com), Aug 13 2009
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EXTENSIONS
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More terms from Hagen von Eitzen (math(AT)von-eitzen.de), Oct 03 2009
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