71 (seventy-one) is the natural number following 70 and preceding 72.

Look up seventy-one in Wiktionary, the free dictionary.

71 is the 20th prime number. Because both rearrangements of its digits (17 and 71) are prime numbers, 71 is an emirp and more generally a permutable prime.^[1][2]

71 is a centered heptagonal number.^[3]

It is a Pillai prime, since ${\displaystyle 9!+1}$ is divisible by 71, but 71 is not one more than a multiple of 9.^[4] It is part of the last known pair (71, 7) of Brown numbers, since ${\displaystyle 71^{2}=7!+1}$.^[5]

71 is the smallest of thirty-one discriminants of imaginary quadratic fields with class number of 7, negated (see also, Heegner numbers).^[6]

71 is the largest number which occurs as a prime factor of an order of a sporadic simple group, the largest (15th) supersingular prime.^[7][8]

• 71 (disambiguation)