Natural number
151 (one hundred [and] fifty-one) is thenatural number following150 and preceding152.
151 is the 36thprime number, the previous is149, with which it comprises atwin prime. 151 is also apalindromic prime, acentered decagonal number,[1] and alucky number.[2]
151 appears in thePadovan sequence, preceded by the terms65,86,114; it is the sum of the first two of these.[3]
151 is aunique prime inbase 2, since it is the only prime with period 15 in base 2.
There are 1514-uniform tilings, such that the symmetry of tilings with regular polygons have fourorbits of vertices.[4]
151 is the number ofuniform paracompact honeycombs with infinitefacets andvertex figures in thethird dimension, which stem from23 differentCoxeter groups. Split into twowhole numbers, 151 is the sum of 75 and 76, both relevant numbers inEuclidean andhyperbolic3-space:
While 151 is the 36th indexed prime, itstwin prime149 has areciprocal whoserepeating decimalexpansion has adigit sum of666, which is themagic constant in a
prime reciprocal magic square equal to the sum of the first 36 non-zerointegers, or equivalently the 36thtriangular number.[5]
Furthermore, the sum between twin primes (149, 151) is300, which in turn is the 24th triangular number.
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- 100,000
- 1,000,000
- 10,000,000
- 100,000,000
- 1,000,000,000
- 10,000,000,000
- 100,000,000,000
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