← 150 151 152 →
Cardinalone hundred fifty-one
Ordinal151st
(one hundred fifty-first)
Factorizationprime
Prime36th
Divisors1, 151
Greek numeralΡΝΑ´
Roman numeralCLI
Binary100101112
Ternary121213
Senary4116
Octal2278
Duodecimal10712
Hexadecimal9716

151 (one hundred [and] fifty-one) is a natural number. It follows 150 and precedes 152.

In mathematics

151 is the 36th prime number, the previous is 149, with which it comprises a twin prime. 151 is also a palindromic prime, a centered decagonal number,[1] and a lucky number.[2]

151 appears in the Padovan sequence, preceded by the terms 65, 86, 114; it is the sum of the first two of these.[3]

151 is a unique prime in base 2, since it is the only prime with period 15 in base 2.

151 is the number of uniform paracompact honeycombs with infinite facets and vertex figures in the third dimension, which stem from 23 different Coxeter groups. Split into two whole numbers, 151 is the sum of 75 and 76, both of which are also relevant numbers in Euclidean and hyperbolic space:

There are 151 4-uniform tilings, such that the symmetry of tilings with regular polygons have four orbits of vertices.[4]

While 151 is the 36th indexed prime, its twin prime 149 has a reciprocal whose repeating decimal expansion has a digit sum of 666, which is the magic constant in a prime reciprocal magic square equal to the sum of the first 36 non-zero integers, or equivalently the 36th triangular number.[5] Furthermore, the sum between twin primes (149, 151) is 300, which in turn is the 24th triangular number.

In music

In sports

In other fields

151 is also:

See also

References

  1. ^ "Sloane's A062786 : Centered 10-gonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-26.
  2. ^ "Sloane's A000959 : Lucky numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-26.
  3. ^ "Sloane's A000931 : Padovan sequence". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-26.
  4. ^ Sloane, N. J. A. (ed.). "Sequence A068599 (Number of n-uniform tilings.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2023-01-07.
  5. ^ Sloane, N. J. A. (ed.). "Sequence A000217 (Triangular numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-11-05.
  6. ^ 151 Products
  7. ^ "FLW Incorporated | Specialists in Physical Measurement, Testing, Calibration & Control".