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A083753
Smallest palindromic number with exactly n divisors, or 0 if no such number exists.
1
1, 2, 4, 6, 14641, 44, 0, 66, 484, 272, 0, 414, 0, 2912192, 44944, 616, 0, 252, 0, 2992, 0, 2532352, 0, 4004, 10004000600040001, 2977792, 1002001, 2112, 0, 63536, 0, 4224, 0, 44356665344, 0, 2772, 0, 6564989894656, 0, 42224, 0, 6336, 0, 4015104, 698896
OFFSET
1,2
COMMENTS
a(7)=a(11)=a(13)=a(17)=a(19)=a(23)=a(29)=a(31)=a(37)=a(41)=0 under the plausible conjecture that there are no palindromes > 1 which are fifth or higher powers. David Wasserman in A090315 reports that he has checked this (or rather the part needed for this sequence) up to 10^48. - David Consiglio, Jr. and Charles R Greathouse IV, Mar 27 2012
a(21), a(33), a(35), and a(39) have also not been proved to be zero, but if positive they must be at least 10^31. - Charles R Greathouse IV, Mar 27 2012
CROSSREFS
Sequence in context: A185151 A218087 A090315 * A170807 A221840 A111512
KEYWORD
base,nonn
AUTHOR
Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), May 06 2003
EXTENSIONS
a(11)-a(42) from David Consiglio, Jr. and Charles R Greathouse IV, Mar 27 2012
a(43)-a(45) added (with a(43)=0 under the same conjecture as for a(7)=a(11)=...=a(41)=0) by Jon E. Schoenfield, Oct 17 2014
STATUS
approved