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Revision History for A308168 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
Numbers m that cannot be represented as a k-tuple factorial b!k for any b and k < m-1.
(history; published version)
#39 by Joerg Arndt at Thu Feb 06 12:19:56 EST 2020
STATUS

reviewed

approved

#38 by Michel Marcus at Thu Feb 06 01:07:53 EST 2020
STATUS

proposed

reviewed

#37 by Joerg Arndt at Thu Feb 06 00:47:24 EST 2020
STATUS

editing

proposed

#36 by Joerg Arndt at Thu Feb 06 00:47:21 EST 2020
COMMENTS

Squarefree semiprimes that are in this sequence (35, 77, 143, 187, 209, 221, ...) are all in A259282 and they are the only semiprimes there. (See the Echi and Ghanmi paper reference for a proof.) - Elijah Beregovsky, Feb 05 2020

STATUS

proposed

editing

#35 by Jon E. Schoenfield at Thu Feb 06 00:08:50 EST 2020
STATUS

editing

proposed

#34 by Jon E. Schoenfield at Thu Feb 06 00:08:45 EST 2020
COMMENTS

Squarefree semiprimes that are in this sequence (35, 77, 143, 187, 209, 221, ...) are all in A259282 and they are the only semiprimes there. (See Echi and Ghanmi paper for proof.) - Elijah Beregovsky, Feb 05 2020

STATUS

proposed

editing

#33 by Michel Marcus at Wed Feb 05 07:57:34 EST 2020
STATUS

editing

proposed

#32 by Michel Marcus at Wed Feb 05 07:57:11 EST 2020
LINKS

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Multifactorial.html">Multifactorial</a>

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Multifactorial.html">Multifactorial</a>

EXAMPLE

15 is not in the sequence because 15 = 1*3*5 = 5!!.

STATUS

proposed

editing

Discussion
Wed Feb 05
07:57
Michel Marcus: Echi before Weisstein
#31 by Elijah Beregovsky at Wed Feb 05 06:56:34 EST 2020
STATUS

editing

proposed

#30 by Elijah Beregovsky at Wed Feb 05 06:55:52 EST 2020
COMMENTS

The sequence contains only primes and numbers of the form p*q, where p and q are both prime and satisfy the inequalities p > = q and p-q < q-1.

Squarefree semiprimes that are in this sequence (35, 77, 143, 187, 209, 221...) are all in A259282 and they are the only semiprimes there. (See Echi and Ghanmi paper for proof.) - Elijah Beregovsky, Feb 05 2020

LINKS

O. Echi, N. Ghanmi, <a href="https://www.researchgate.net/publication/267677588_The_Korselt_set_of_pq">The Korselt set of pq</a>, International Journal of Number Theory, Vol. 8 (2012), 2, 299-309.

CROSSREFS
STATUS

approved

editing