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About palindrome 1881 [ July 16, 2001 ]18812 = 3538161 This square falls apart into two primes namely 353 and 8161. Note that 8161 is the smallest prime one has to append to palprime 353 so 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 = 130 130 and Sum Of Square Of Digits = 10 10 and Sum Of Square Of Digits = 1 if One then Happy ! John Venn published Symbolic Logic in 1881. Source This historical fact was brought to my attention by G. L. Honaker, Jr.. The palindrome 1881 can be expressed by using the six consecutive integers 2, 3, 4, 5, 6 and 7 in the following construction : 1881 = 27 + 36 + 45 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 1881 is pseudoprime to base 37 ! (A020165) Coincidentally 1881 has exactly 4 prime factors, 2 of which are the same ! Coincidentally the digit sums on both sides of the equation are equal ! Note that the difference between the exponent and the The smallest (probable) primes made with 1881
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