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 =
if One then Happy !
John Venn published Symbolic Logic in 1881.
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 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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