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A074736 Goedel encoding of the prime factors of n, in increasing order and repeated according to multiplicity. 2
4, 8, 36, 32, 108, 128, 900, 216, 972, 2048, 4500, 8192, 8748, 1944, 44100, 131072, 13500, 524288, 112500, 17496, 708588, 8388608, 308700, 7776, 6377292, 27000, 2812500, 536870912, 337500, 2147483648, 5336100, 1417176, 516560652, 69984 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

REFERENCES

Goedel, K. "On Formally Undecidable Propositions of Principia Mathematica and Related Systems", Dover Publications, 1992.

LINKS

Table of n, a(n) for n=2..35.

FORMULA

a(n) = prime(1)^p_1 * prime(2)^p_2 * ... * prime(k)^p_k, where p_1 <= ... <= p_k are the prime factors of n, repeated according to multiplicity.

EXAMPLE

The prime factors of 12 in increasing order and repeated according to multiplicity are 2, 2, 3. Hence a(12) = 2^2 * 3^2 * 5^3 = 4500.

PROG

(PARI) for(n=2, 50, m=factor(n):s=1:c=1:for(k=1, matsize(m)[1], for(l=1, m[k, 2], s=s*prime(c)^m[k, 1]:c=c+1)):print1(s", "))

CROSSREFS

Sequence in context: A266676 A046056 A158863 * A044829 A033001 A269012

Adjacent sequences:  A074733 A074734 A074735 * A074737 A074738 A074739

KEYWORD

nonn

AUTHOR

Joseph L. Pe, Sep 28 2002

EXTENSIONS

More terms from Ralf Stephan, Mar 22 2003

STATUS

approved

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Last modified December 17 09:23 EST 2018. Contains 318193 sequences. (Running on oeis4.)