World!OfNumbers |
WON plate 22 | |
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This square falls apart into two primes namely 353 and 8161.Note that 8161 is the _{smallest} prime one has to append to palprime 353so that their concatenation yields a square ! 1881 is the middle term of the smallest triplet of consecutive happy numbers.What is a happy number ? Source : David Wells, "Curious and Interesting Numbers", revised edition, 1997, p. 154.[ 1880, 1881, 1882 ] 1881 and Sum Of Square Of Digits = 130130 and Sum Of Square Of Digits = 10 10 and Sum Of Square Of Digits = John Venn published in Symbolic Logic1881.Source This historical fact was brought to my attention by G. L. Honaker, Jr.. The palindrome 1881 can be expressedby using the six consecutive integers 2, 3, 4, 5, 6 and 7 in the following construction :
The exponents 7, 6, 5 are the continuation of the basenumbers 2, 3, 4 in reversed order WARNING you will have a hard time finding another palindrome with such properties.
Hold this magic square in a mirror Coincidentally Coincidentally Coincidentally the Note that the difference between the exponent and the displacement is also palindromic ( 2184 – 1881 = 303)The smallest 10^{10417} + 1881 10^{19503} + 1881 | |||||||||||||||||||

A000022 Prime Curios! Prime Puzzle Richard Phillips Wikipedia 22 Le Nombre 22 Numberland 22 |

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