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Palindrome |
Doc, note. I dissent. A fast never prevents a fatness. I diet on cod.
Sotades the obscene of Maronea (3rd century BC) is credited with inventing the palindrome. Though today only eleven lines of his works still remain, he is thought to have recast the entire Illiad as palindromic verse. Sotades also wrote lines which when read backwards had the opposite meaning, now sometimes called Sotadic verses. Sotades attacked many with his unrestrained toungue, and eventually was jailed by Ptolemy II. Sotades eventually escaped, but Ptolemy's admiral Patroclus caught him, sealed him in a leaden chest and tossed him into the sea.
Though palindromic numbers have no significant role in modern mathematics, the survival of the old mysticism so often attached to numbers (perfect numbers, amicable numbers, abundant numbers...) insures the palindromes a secure place in the heart of the amateur numerologists.
rank prime digits who when comment 1 10180054+8 · R(58567) · 1060744+1 180055 p235 Sep 2009 Tetradic palindrome 2 10180004+248797842 · 1089998+1 180005 D Aug 2007 Palindrome 3 10175108+230767032 · 1087550+1 175109 D Jun 2007 Palindrome 4 10170006+3880883 · 1085000+1 170007 D Oct 2006 Palindrome 5 10160016+8231328 · 1080005+1 160017 D May 2006 Palindrome 6 10150008+4798974 · 1075001+1 150009 D Feb 2006 Palindrome 7 10150006+7426247 · 1075000+1 150007 p5 Dec 2005 Palindrome 8 10140008+4546454 · 1070001+1 140009 D Dec 2005 Palindrome 9 10130048+(9 · 1037077-2)/11 · 1046486+1 130049 p235 Sep 2008 Tetradic palindrome 10 10130036+116010611 · 1065014+1 130037 D Dec 2004 Palindrome 11 10130022+3761673 · 1065008+1 130023 D Nov 2004 Palindrome 12 10127590+1042297 · (9 · 1042997-2)/11+1 127591 x40 Sep 2009 Tetradic palindrome 13 10127576+1081101080188810801011801 · 1063776+1 127577 p185 Jan 2006 Tetradic, palindrome 14 10120016+1726271 · 1060005+1 120017 D Apr 2004 Palindrome 15 10120002+1617161 · 1059998+1 120003 D Apr 2004 Palindrome 16 10105022+523111325 · 1052507+1 105023 D Feb 2008 Palindrome 17 10105018+920383029 · 1052505+1 105019 D May 2008 Palindrome 18 10105016+318939813 · 1052504+1 105017 D Jan 2008 Palindrome 19 10105014+682787286 · 1052503+1 105015 D Apr 2008 Palindrome 20 10105014+424787424 · 1052503+1 105015 D Feb 2008 Palindrome
- DO94
- H. Dubner and R. Ondrejka, "A PRIMEr on palindromes," J. Recreational Math., 26:4 (1994) 256--267.
- GC1969
- H. Gabai and D. Coogan, "On palindromes and palindromic primes," Math. Mag., 42 (1969) 252--254. MR0253979
- HC2000
- G. L. Honaker, Jr. and C. Caldwell, "Palindromic prime pyramids," J. Recreational Math., 30:3 (1999-2000) 169--176. (Annotation available)
- McDaniel87b
- W. McDaniel, "Palindromic Smith numbers," J. Recreational Math., 19:1 (1987) 34--37.
- Ribenboim95
- P. Ribenboim, The new book of prime number records, 3rd edition, Springer-Verlag, New York, NY, 1995. pp. xxiv+541, ISBN 0-387-94457-5. MR 96k:11112 [An excellent resource for those with some college mathematics. Basically a Guinness Book of World Records for primes with much of the relevant mathematics. The extensive bibliography is seventy-five pages.]