The On-Line Encyclopedia of Integer Sequences (OEIS)

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Numbers n such that (i) the largest prime factor of n is not a palindrome and (ii) the sum of the factorials of the digits of n is equal to the largest prime factor of n reversed.
(history; published version)

#7 by N. J. A. Sloane at Fri Dec 15 17:36:01 EST 2017

AUTHOR

_Jason Earls (zevi_35711(AT)yahoo.com), _, Sep 21 2002

Discussion

Fri Dec 15

17:36

OEIS Server: https://oeis.org/edit/global/2722

#6 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009

NAME

Numbers n such that (i) the largest prime factor of n is not a palindrome, and (ii) the sum of the factorials of the digits of n is equal to the largest prime factor of n reversed.

KEYWORD

base,nonn,new

#5 by N. J. A. Sloane at Fri Jan 09 03:00:00 EST 2009

KEYWORD

base,nonn,new

AUTHOR

Jason Earls (jcearlszevi_35711(AT)cableoneyahoo.netcom), Sep 21 2002

#4 by N. J. A. Sloane at Tue Jan 24 03:00:00 EST 2006

NAME

Sum Numbers n such that (i) the largest prime factor of n is not a palindrome, and (ii) the sum of the factorials of the digits of n is equal to the largest prime factor of n reversed, where the largest prime factor is not a palindrome.

DATA

143, 541, 2105, 2444, 3431, 4144, 4233, 4301, 4440, 10234, 12243, 12341, 20313, 22320, 30422, 34030, 34144, 35140, 46003, 52100, 53013, 102613, 106312, 113162, 120032, 134046, 200340, 202124, 203112, 210304, 211232, 212264, 221030, 222224

OFFSET

0,1,1

CROSSREFS

See A111185 for another version.

KEYWORD

base,more,nonn,new

EXTENSIONS

More terms from Jonathan Cross (jcross(AT)juggler.net), Oct 14 2005

#3 by N. J. A. Sloane at Wed Sep 22 03:00:00 EDT 2004

KEYWORD

base,more,nonn,new

AUTHOR

Jason Earls (jcearls(AT)4grccableone.comnet), Sep 21 2002

#2 by N. J. A. Sloane at Sat Jun 12 03:00:00 EDT 2004

KEYWORD

base,more,nonn,new

AUTHOR

Jason Earls (jcearls(AT)kskc4grc.netcom), Sep 21 2002

#1 by N. J. A. Sloane at Fri May 16 03:00:00 EDT 2003

NAME

Sum of factorials of digits of n is equal to the largest prime factor of n reversed, where the largest prime factor is not a palindrome.

DATA

143, 541, 2105, 2444, 3431, 4144, 4233, 4301, 4440, 10234, 12243, 12341, 20313, 22320, 30422, 34030, 34144, 35140, 46003, 52100, 53013

OFFSET

0,1

EXAMPLE

2105 = 5.'421' and 2!+1!+0!+5! = 124.

KEYWORD

base,more,nonn

AUTHOR

Jason Earls (jcearls(AT)kskc.net), Sep 21 2002

STATUS

approved