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Permutable prime

A permutable prime, also known as anagrammatic prime, is a prime number which, in a given base, can have its digits' positions switched through any permutation and still be a prime number. H. E. Richert, who is supposedly the first to study these primes, called them permutable primes, but later they were also called absolute primes.

Base 10, Base 2 & Base 12

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Base 10

Base 1011131731
15 related topics

Base 2

RepunitsMersenne primesPositional number systemCoprime
4 related topics

Base 12

Base 12
1 related topics

Overview

Prime numberBasePermutationH. E. Richert
4 related topics

Key facts & relationships

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Conjectured no. of terms
Infinite
First terms
2, 3, 5, 7, 11, 13, 17, 31, 37, 71, 73, 79, 97, 113, 131, 199
OEIS index
A003459 · Absolute primes (or permutable primes): every permutation of the digits is a prime.

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Overview

Base 2

Base 10

  • Base 10
  • 11 11 (number)
  • 13 13 (number)
  • 17 17 (number)
  • 31 31 (number)
  • 37 37 (number)
  • 71 71 (number)
  • 73 73 (number)
  • 79 79 (number)
  • 97 97 (number)
  • 113 113 (number)
  • 131 131 (number)
  • 199 199 (number)
  • OEIS On-Line Encyclopedia of Integer Sequences
  • Conjectured Conjecture

Base 12

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Map overview Semantic statistics

Permutable prime

Nodes29
Edges28
Triples17
Avg. degree1.93
Density0.068966
Components1

How this topic connects Entity context

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Permutable prime

Top relations

related to Base 2 · 5
Permutable prime → In, Mersenne, One-digit, The, Therefore
related to Base 10 · 3
Permutable prime → Any, In, Where Rn
related to Base 12 · 3
Permutable prime → In, It, There
OEIS index · 2
Permutable prime → A003459, Absolute primes (or permutable primes): every permutation of the digits is a prime.
Conjectured no. of terms · 1
Permutable prime → Infinite
First terms · 1
Permutable prime → 2, 3, 5, 7, 11, 13, 17, 31, 37, 71, 73, 79, 97, 113, 131, 199
Largest known term · 1
Permutable prime → .mw-parser-output .sfrac{white-space:nowrap}.mw-parser-output .sfrac.tion,.mw-parser-output .sfrac .tion{display:inline-block;vertical-align:-0.5em;font-size:85%;text-align:cent…
is a · 1
Permutable prime → repunit or a near-repdigit

Important terminology Word statistics

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Important terminology

permutable prime primes base digits number permutation known repunit also 12 conjectured two coprime 10 a003459 first absolute given radix

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Permutable primeConjectured no. of termsInfinite1.00infobox
Permutable primeFirst terms2, 3, 5, 7, 11, 13, 17, 31, 37, 71, 73, 79, 97, 113, 131, 1991.00infobox
Permutable primeLargest known term.mw-parser-output .sfrac{white-space:nowrap}.mw-parser-output .sfrac.tion,.mw-parser-output .sfrac .tion{display:inline-block;vertical-align:-0.5em;font-size:85%;text-align:cent…1.00infobox
Permutable primeOEIS indexA0034591.00infobox
Permutable primeOEIS indexAbsolute primes (or permutable primes): every permutation of the digits is a prime.1.00infobox
Permutable primeis arepunit or a near-repdigit0.90text
Permutable primerelated to Base 10In0.60section
Permutable primerelated to Base 10Where Rn0.60section
Permutable primerelated to Base 10Any0.60section
Permutable primerelated to Base 12In0.60section
Permutable primerelated to Base 12There0.60section
Permutable primerelated to Base 12It0.60section

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