楕円曲線法による素因数分解に関する実験的考察 An experimental consideration on the elliptic curve factoring method (ECM)
We show some characters of the elliptic factoring method (ECM). In some trial factoring the Mersenne Number M137,7's are success and 5's failed. This is its probablistic character. Also we show that for factoring, an order of curve must be decomposited to some small prime factors. At last, using random number instead of prime, a number is factorized.