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- W2333867869 abstract "If Al and N are integers, the unit's digit of P = AIN(A1 2 N 2) = MN(MI+N)(M-N) is dependent upon the unit's digits of its four factors. Let the unit's digits of M, N, P be m, n, p, respectively. Now p will be zero if: m = n; or m, n, or (mr-n) equals 0 or 5; or m+n ends in 0 or 5. These zeros form a symmetrical pattern in the square array of the values of p. Thus m 1 2 3 4 5 6 7 8 9 1 0 6 4 0 0 0 6 4 0 2 6 0 0 6 0 4 0 0 6 3 4 0 0 4 0 6 0 0 4 4 0 6 4 0 0 0 4 6 0 5 0 0 0 0 0 0 0 0 0 6 0 4 6 0 0 0 6 4 0 7 6 0 0 4 0 6 0 0 6 8 4 0 0 6 0 4 0 0 4 9 0 6 4 0 0 0 6 4 0 The non-zero elements may be filled in by direct. computation. Or, the following properties of the array may be used: 1) The array is symmetrical to the principhl diagonal (where m = n), since interchange of M and N merely changes the sign of P. 2) In the upper-right triangle of the array (where m > n), Pm,n = Pm+5,n P Pm,n+5 because" @default.
- W2333867869 created "2016-06-24" @default.
- W2333867869 creator A5084183788 @default.
- W2333867869 date "1961-01-01" @default.
- W2333867869 modified "2023-09-26" @default.
- W2333867869 title "Terminal Digits of MN(M2 - N2)" @default.
- W2333867869 doi "https://doi.org/10.1080/0025570x.1961.11975203" @default.
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