A096932 - OEIS

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A096932

Smallest number having exactly s divisors, where s is the n-th semiprime (A001358).

6, 12, 36, 48, 192, 144, 576, 3072, 1296, 12288, 9216, 196608, 5184, 786432, 36864, 12582912, 46656, 589824, 82944, 2359296, 805306368, 3221225472, 331776, 37748736, 206158430208, 746496, 3298534883328, 5308416, 13194139533312 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	COMMENTS	`A000005(a(n))=A001358(n) and A000005(m)<>A001358(n) for m<a(n);` `a(n) = A005179(A001358(n));` `a(pq) = 2^(q-1) 3^(p-1) for primes p<=q;` `a(A000040(i)A000040(j)) = 2^(A084127(j)-1) 3^(A084127(i)-1) for i<=j;` `This is to smallest integer for which the number of divisors is the n-th prime (A061286) as semiprimes (A001358) are to primes (A000040) [Jonathan Vos Post, Feb 3, 2011].`
	CROSSREFS	`Cf. A061234, A061286, A061299.` `Sequence in context: A167338 A078402 A127845 * A176681 A064476 A038266` `Adjacent sequences: A096929 A096930 A096931 * A096933 A096934 A096935`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 15 2004`

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Last modified February 16 01:56 EST 2012. Contains 205860 sequences.