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==In mathematics==
==In mathematics==
'''131''' is a [[Sophie Germain prime]],<ref>{{Cite web|url=https://oeis.org/A005384|title=Sloane's A005384 : Sophie Germain primes|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-27}}</ref> an [[irregular prime]],<ref>{{Cite web|url=https://oeis.org/A000928|title=Sloane's A000928 : Irregular primes|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-27}}</ref> the second 3-digit [[palindromic prime]], and also a [[permutable prime]] with [[113 (number)|113]] and 311. It can be expressed as the sum of three consecutive primes, 131 = 41 + 43 + 47. 131 is an [[Eisenstein prime]] with no imaginary part and real part of the form <math>3n - 1</math>. Because the next odd number, 133, is a [[semiprime]], 131 is a [[Chen prime]]. 131 is an [[Ulam number]].<ref>{{Cite web|url=https://oeis.org/A002858|title=Ulam numbers|date=2016-04-18|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-04-19}}</ref>
'''131''' is a [[Sophie Germain prime]],<ref>{{Cite web|url=https://oeis.org/A005384|title=Sloane's A005384 : Sophie Germain primes|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-27}}</ref> an [[irregular prime]],<ref>{{Cite web|url=https://oeis.org/A000928|title=Sloane's A000928 : Irregular primes|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-27}}</ref> the second 3-digit [[palindromic prime]], and also a [[permutable prime]] with [[113 (number)|113]] and [[311 (number)|311.]] It can be expressed as the sum of three consecutive primes, 131 = 41 + 43 + 47. 131 is an [[Eisenstein prime]] with no imaginary part and real part of the form <math>3n - 1</math>. Because the next odd number, 133, is a [[semiprime]], 131 is a [[Chen prime]]. 131 is an [[Ulam number]].<ref>{{Cite web|url=https://oeis.org/A002858|title=Ulam numbers|date=2016-04-18|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-04-19}}</ref>


131 is a [[full reptend prime]] in [[base (exponentiation)|base]] 10 (and also in [[base 2]]). The decimal expansion of 1/131 repeats the digits 007633587786259541984732824427480916030534351145038167938931 297709923664122137404580152671755725190839694656488549618320 6106870229 indefinitely.
131 is a [[full reptend prime]] in [[base (exponentiation)|base]] 10 (and also in [[base 2]]). The decimal expansion of 1/131 repeats the digits 007633587786259541984732824427480916030534351145038167938931 297709923664122137404580152671755725190839694656488549618320 6106870229 indefinitely.

Revision as of 23:09, 20 November 2022

← 130 131 132 →
Cardinalone hundred thirty-one
Ordinal131st
(one hundred thirty-first)
Factorizationprime
Prime32nd
Divisors1, 131
Greek numeralΡΛΑ´
Roman numeralCXXXI
Binary100000112
Ternary112123
Senary3356
Octal2038
DuodecimalAB12
Hexadecimal8316

131 (one hundred [and] thirty-one) is the natural number following 130 and preceding 132.

In mathematics

131 is a Sophie Germain prime,[1] an irregular prime,[2] the second 3-digit palindromic prime, and also a permutable prime with 113 and 311. It can be expressed as the sum of three consecutive primes, 131 = 41 + 43 + 47. 131 is an Eisenstein prime with no imaginary part and real part of the form . Because the next odd number, 133, is a semiprime, 131 is a Chen prime. 131 is an Ulam number.[3]

131 is a full reptend prime in base 10 (and also in base 2). The decimal expansion of 1/131 repeats the digits 007633587786259541984732824427480916030534351145038167938931 297709923664122137404580152671755725190839694656488549618320 6106870229 indefinitely.

In the military

In transportation

In other fields

131 is also:

See also

References

  1. ^ "Sloane's A005384 : Sophie Germain primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
  2. ^ "Sloane's A000928 : Irregular primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
  3. ^ "Ulam numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 2016-04-18. Retrieved 2016-04-19.