Factorizing large numbers. I

AbstractA fresh light is thrown on Fermat's method of factorization. It has been observed on Fermat's letter that it is not always wise to start with the lowest divisor if one tries to factorize a number by divisions. The application of this remark can save (computer) time.It is shown that the contraction of Fermat's method works best by multiplying the number in investigation by an “adapted” multiplier. A definition of an “adapted” multiplier is given.With the “tentative method” the multiplier 102v is used. The so-called “recurring functions” can be of assistance in the problem of factorizing.At the end five suggestions for further study are made