Abstract

Prime numbers in arithmetical progressions 10n + k are analyzed for the spacings between primes of same form in blocks of 10n till 1012. The minimum spacings between primes in same progressions, the first and last prime starters with minimum spacings, and also the frequency of prime pairs with minimum spacings within blocks of 10n are determined. Similar analysis for maximum spacings between primes of same form in blocks of 10n till 1012 is carried out. The digits in units place and digits in units & tens place in primes of these forms are considered for abundance.