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A034684
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If n = p_1^e_1 * ... * p_k^e_k, p_1 < ... < p_k primes, then a(n) = min { p_i^e_i }.
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15
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1, 2, 3, 4, 5, 2, 7, 8, 9, 2, 11, 3, 13, 2, 3, 16, 17, 2, 19, 4, 3, 2, 23, 3, 25, 2, 27, 4, 29, 2, 31, 32, 3, 2, 5, 4, 37, 2, 3, 5, 41, 2, 43, 4, 5, 2, 47, 3, 49, 2, 3, 4, 53, 2, 5, 7, 3, 2, 59, 3, 61, 2, 7, 64, 5, 2, 67, 4, 3, 2, 71, 8, 73, 2, 3, 4, 7, 2, 79, 5, 81, 2, 83, 3, 5, 2, 3, 8, 89, 2, 7, 4
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| a(1) = 1; for n > 1, smallest unitary divisor of n that is larger than 1.
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LINKS
| T. D. Noe, Table of n, a(n) for n=1..1000
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MATHEMATICA
| A034684[n_]:=Min[(#[[1]]^#[[2]])&/@FactorInteger[n]]; Array[A034684, 100] (* Enrique Pérez Herrero, Nov 01 2011 *)
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PROG
| (PARI) A034684(n) = {local(f, m); if(n==1, 1, f=factor(n); m=f[1, 1]^f[1, 2]; for(i=1, matsize(f)[1], m=min(m, f[i, 1]^f[i, 2])); m)} [From Michael B. Porter (michael_b_porter(AT)yahoo.com), Jan 28 2010]
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CROSSREFS
| Cf. A020639, A006530, A034684, A028233, A034699, A053585.
Cf. A034444, A034448, A052125.
Sequence in context: A143120 A026362 A081811 * A028233 A066296 A162961
Adjacent sequences: A034681 A034682 A034683 * A034685 A034686 A034687
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KEYWORD
| nonn,nice,easy
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AUTHOR
| Erich Friedman (erich.friedman(AT)stetson.edu)
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