Balanced prime

id: balanced-prime-258-16136052
title: Balanced prime
text: In number theory, a balanced prime is a prime number with equal-sized prime gaps above and below it, so that it is equal to the arithmetic mean of the nearest primes above and below. Or to put it algebraically, the n th prime number p n is a balanced prime if For example, 53 is the sixteenth prime; the fifteenth and seventeenth primes, 47 and 59, add up to 106, and half of that is 53; thus 53 is a balanced prime.
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Balanced_prime
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date modified: 2023-12-20T20:11:50Z
main entity: {"identifier":"Q1934929","url":"https://www.wikidata.org/entity/Q1934929"}
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