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Class of prime numbers
An emirp (pronounced /ˈiːmərp/ or /ˈɛmərp/, an anadrome of prime) is a prime number that results in a different prime when its decimal digits (digits
Emirp
ones for the fifth base-10 repunit prime. 1033 is a prime number and an emirp. It forms a twin prime pair with 1031. 1035 = 32 × 5 × 23. It is a hexagonal
1000_(number)
Natural number
is a prime number, a twin prime (with 29), a super-prime, a member of an emirp prime pair, a sexy prime, and a Mersenne prime. 31 equal temperament is
31_(number)
Natural number
following 3510 and preceding 3512. 3511 is a prime number, and is also an emirp: a different prime when its digits are reversed. 3511 is a Wieferich prime
3511
Natural number
96 and preceding 98. 97 is the 25th prime number, a happy prime, and an emirp with 79. It is the smallest odd prime that is not a cluster prime. Because
97_(number)
Natural number
a perfect square. 311 is a twin prime with 313, an irregular prime, an emirp, and a permutable prime with 113 and 131. It is an Eisenstein prime with
300_(number)
401 (OEIS: A003627) Emirps are primes that become a different prime after their base 10 digits have been reversed. The name "emirp" is the reverse of the
List_of_prime_numbers
Natural number
112 and preceding 114. 113 is a prime number, a Sophie Germain prime, an emirp, an isolated prime, a Chen prime, a highly cototient number, a centered
113_(number)
Natural number
both rearrangements of its digits (17 and 71) are prime numbers, 71 is an emirp and more generally a permutable prime. 71 is a centered heptagonal number
71_(number)
Natural number
intersection. 733 is a prime number, a balanced prime, a permutable prime, and an emirp. It is the sum of five consecutive primes (137 + 139 + 149 + 151 + 157)
700_(number)
Natural number
It is the number of triangle-free graphs on 7 vertices. It is the ninth emirp, because reversing its digits gives another prime number (701) The 107%
107_(number)
Natural number
primes 3109 – super-prime 3119 – safe prime 3121 – centered square number, emirp, largest minimal prime in quinary. 3136 = 562, palindromic in ternary (110220113)
3000_(number)
Natural number
the remaining number (7) is still prime. Because 97 is prime, it is an emirp and a permutable prime in base 10. 79 is the smallest prime number p for
79_(number)
Natural number
Cooper. Where 73 and 37 are part of the sequence of permutable primes and emirps in base-ten, a Sheldon prime as defined as satisfying "mirror" and "product"
73_(number)
Natural number
balanced prime, because the arithmetic mean of those primes yields 157 an emirp a Chen prime the largest known prime p which p p + 1 p + 1 {\displaystyle
157_(number)
Type of number in mathematics
{\displaystyle O\left({\frac {\#{\mathcal {P}}(x)}{\log x}}\right)} . 666 (number) Emirp De Geest, Patrick. "World of Palindromic Primes". World!Of Numbers. Retrieved
Palindromic_prime
Natural number
number following 166 and preceding 168. 167 is the 39th prime number, an emirp, an isolated prime, a Chen prime, a Gaussian prime, a safe prime, and an
167_(number)
Natural number
also prime. Since 971 (the digits of 179 reversed) is prime, 179 is an emirp. All pages with titles containing 179 Wells, David (1997). The Penguin Dictionary
179_(number)
Prime such that p^2 divides 2^(p-1)-1
theory) Good Super Higgs Highly cototient Unique Base-dependent Palindromic Emirp Repunit (10n − 1)/9 Permutable Circular Truncatable Minimal Delicate Primeval
Wieferich_prime
Natural number
is a sphenic number and a heptagonal number. 971 is a prime number, an emirp, a Chen prime, and an Eisenstein prime with no imaginary part. 972 = 22
900_(number)
Natural number
759,375 = 155 762,701 – smallest known composite Riesel number 765,623 = emirp, Friedman prime 56 × 72 − 6 ÷ 3 777,777 = repdigit, the smallest natural
100,000
Natural number
super-prime 7656 – pronic number 7691 – Sophie Germain prime 7699 – super-prime, emirp, sum of the first 60 primes, first prime above 281 to be the sum of the
7000_(number)
Word whose spelling is derived by reversing the spelling of another word
references daraf farad a unit of elastance equal to the reciprocal farad emirp prime a prime number that results in a different prime when its digits are
Anadrome
Prime number of the form 2^n – 1
theory) Good Super Higgs Highly cototient Unique Base-dependent Palindromic Emirp Repunit (10n − 1)/9 Permutable Circular Truncatable Minimal Delicate Primeval
Mersenne_prime
Natural number
of Mertens function, and the smallest number that is the product of an emirp pair. 404 = 22 × 101, a zero of Mertens function, a nontotient and a noncototient
400_(number)
Natural number
first prime whose difference from the previous prime is exactly 10, an emirp, and an irregular prime. After 1 and 127, it is the third smallest de Polignac
149_(number)
digital invariant Happy number Perfect digit-to-digit invariant Factorion Emirp Palindromic prime Home prime Normal number Stoneham number Champernowne
List of recreational number theory topics
List_of_recreational_number_theory_topics
Result on density of prime numbers
theory) Good Super Higgs Highly cototient Unique Base-dependent Palindromic Emirp Repunit (10n − 1)/9 Permutable Circular Truncatable Minimal Delicate Primeval
Bertrand's_postulate
Positive integer of the form (2^(2^n))+1
theory) Good Super Higgs Highly cototient Unique Base-dependent Palindromic Emirp Repunit (10n − 1)/9 Permutable Circular Truncatable Minimal Delicate Primeval
Fermat_number
Number of form 2^(2^p-1)-1 with prime exponent
theory) Good Super Higgs Highly cototient Unique Base-dependent Palindromic Emirp Repunit (10n − 1)/9 Permutable Circular Truncatable Minimal Delicate Primeval
Double_Mersenne_number
Product of prime numbers, plus one
theory) Good Super Higgs Highly cototient Unique Base-dependent Palindromic Emirp Repunit (10n − 1)/9 Permutable Circular Truncatable Minimal Delicate Primeval
Euclid_number
Integer of the form 3 × 2^n – 1 for non-negative n
theory) Good Super Higgs Highly cototient Unique Base-dependent Palindromic Emirp Repunit (10n − 1)/9 Permutable Circular Truncatable Minimal Delicate Primeval
Thabit_number
Type of prime number
theory) Good Super Higgs Highly cototient Unique Base-dependent Palindromic Emirp Repunit (10n − 1)/9 Permutable Circular Truncatable Minimal Delicate Primeval
Wilson_prime
Prime number of the form (2ᵖ+1)/3
theory) Good Super Higgs Highly cototient Unique Base-dependent Palindromic Emirp Repunit (10n − 1)/9 Permutable Circular Truncatable Minimal Delicate Primeval
Wagstaff_prime
Mathematical concept
theory) Good Super Higgs Highly cototient Unique Base-dependent Palindromic Emirp Repunit (10n − 1)/9 Permutable Circular Truncatable Minimal Delicate Primeval
Cullen_number
Type of prime number
theory) Good Super Higgs Highly cototient Unique Base-dependent Palindromic Emirp Repunit (10n − 1)/9 Permutable Circular Truncatable Minimal Delicate Primeval
Cuban_prime
Special type of prime number
theory) Good Super Higgs Highly cototient Unique Base-dependent Palindromic Emirp Repunit (10n − 1)/9 Permutable Circular Truncatable Minimal Delicate Primeval
Wolstenholme_prime
Number of the form (n * 2^n) - 1
theory) Good Super Higgs Highly cototient Unique Base-dependent Palindromic Emirp Repunit (10n − 1)/9 Permutable Circular Truncatable Minimal Delicate Primeval
Woodall_number
Prime number congruent to 1 mod 4
theory) Good Super Higgs Highly cototient Unique Base-dependent Palindromic Emirp Repunit (10n − 1)/9 Permutable Circular Truncatable Minimal Delicate Primeval
Pythagorean_prime
Prime number that is product of first n primes ± 1
theory) Good Super Higgs Highly cototient Unique Base-dependent Palindromic Emirp Repunit (10n − 1)/9 Permutable Circular Truncatable Minimal Delicate Primeval
Primorial_prime
Prime number of the form that allows fast modular reduction
theory) Good Super Higgs Highly cototient Unique Base-dependent Palindromic Emirp Repunit (10n − 1)/9 Permutable Circular Truncatable Minimal Delicate Primeval
Solinas_prime
Prime number one less or more than a factorial
theory) Good Super Higgs Highly cototient Unique Base-dependent Palindromic Emirp Repunit (10n − 1)/9 Permutable Circular Truncatable Minimal Delicate Primeval
Factorial_prime
Number of the form x^y + y^x
theory) Good Super Higgs Highly cototient Unique Base-dependent Palindromic Emirp Repunit (10n − 1)/9 Permutable Circular Truncatable Minimal Delicate Primeval
Leyland_number
Prime number of the form 2^u × 3^v + 1
theory) Good Super Higgs Highly cototient Unique Base-dependent Palindromic Emirp Repunit (10n − 1)/9 Permutable Circular Truncatable Minimal Delicate Primeval
Pierpont_prime
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