Occurrence of Digit 5 in Prime Numbers till 1 Trillion

Neeraj Anant Pande

Associate Professor, Department of Mathematics and Statistics, Yeshwant Mahavidyalaya (College), Nanded 431602, Maharashtra, INDIA.


This work is about the way in which the digit 5 occurs in all primes till 1012. Single as well as multiple occurrences of 5s are analyzed. The smallest and the largest prime number with all possible 5s in their digits are determined for each initial block 1 10n, 1 ≤ n ≤ 12. Mathematics Subject Classification 2010 : 11Y35, 11Y60, 11Y99

Keywords :Prime numbers, digit 5, all occurrences.

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