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Another beastly palindromic prime is 700666007. [4] Ribenboim defines a triply palindromic prime as a prime p for which: p is a palindromic prime with q digits, where q is a palindromic prime with r digits, where r is also a palindromic prime. [5] For example, p = 10 11310 + 4661664 × 10 5652 + 1, which has q = 11311 digits, and 11311 has r ...
2.38 Palindromic wing primes. ... Lucky numbers that are prime. 3, 7, ... The fourth Smarandache-Wellin prime is the 355-digit concatenation of the first 128 primes ...
The only known non-palindromic number whose cube is a palindrome is 2201, and it is a conjecture the fourth root of all the palindrome fourth powers are a palindrome with 100000...000001 (10 n + 1). Gustavus Simmons conjectured there are no palindromes of form n k for k > 4 (and n > 1).
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 3 n − 1 {\displaystyle 3n-1} .
A strobogrammatic prime is a strobogrammatic number that is also a prime number, i.e., a number that is only divisible by one and itself (e.g., 11). [3] It is a type of ambigram , words and numbers that retain their meaning when viewed from a different perspective, such as palindromes .
4788920×3 9577840 – 1 14 February 2024 4,569,798 64 69×2 14977631 – 1 3 December 2021 4,508,719 65 192971×2 14773498 – 1 7 March 2021 4,447,272 66 4×3 9214845 + 1 10 September 2024 4,396,600 67 9145334×3 9145334 + 1 25 December 2023 4,363,441 68 4×5 6181673 – 1 15 July 2022 4,320,805 69 396101×2 14259638 – 1 3 February 2024 ...
101 as the sum of three distinct nonzero squares. 101 is: . the 26th prime number and the smallest integer above 100.; a palindromic number in decimal, and so a palindromic prime.; a Chen prime since 103 is also prime, with which it makes a twin prime pair.
An emirp (an anadrome of prime) is a prime number that results in a different prime when its decimal digits are reversed. [1] This definition excludes the related palindromic primes . The term reversible prime is used to mean the same as emirp, but may also, ambiguously, include the palindromic primes.