20101
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Squares written in base 4.at n=23A001739
- Quintan primes: p = (x^5 - y^5)/(x - y).at n=11A002649
- Expansion of g.f. 1/((1-3*x)*(1-11*x)).at n=4A016146
- Primes p such that p+1 is palindromic.at n=27A028981
- Numbers whose set of base-11 digits is {1,4}.at n=39A032823
- Primes having only {0, 1, 2} as digits.at n=16A036953
- Lexicographically earliest strictly increasing base 3 autovarious sequence: a(n) = number of distinct a(k) mod 3^n (written in base 3).at n=24A037091
- Numbers k for which there exists some m such that k = Sum_{i=1..1+floor(log_10(k))} binomial(m, d_i), where d_i is the i-th digit of k.at n=26A055481
- Primes p such that x^67 = 2 has no solution mod p.at n=34A059330
- Luhn primes: primes p such that p + (p reversed) is also a prime.at n=31A061783
- Primes whose sum of digits is 4.at n=10A062339
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d = 2, 4 or 6) and forming d-pattern = [6, 6, 4]; short d-string notation of pattern = [664].at n=15A078858
- Primes p such that the differences between the 5 consecutive primes starting with p are (6,6,4,6).at n=4A078967
- Numbers k such that k, sigma(k) and phi(k) have the same decimal digits (ignoring multiplicity).at n=23A082059
- Prime numbers such that first reversing digits and after squaring equals the result of first-squaring and after-reversing. Primes in A085305.at n=30A085306
- Primes in A051022.at n=30A092908
- Indices of primes in sequence defined by A(0) = 57, A(n) = 10*A(n-1) + 17 for n > 0.at n=8A101588
- Primes with maximal digit = 2.at n=13A106100
- Greater of number pair whose squares are reversals of each other, with no leading zeros allowed.at n=35A106324
- Least positive k such that n^n + k is a Chen prime.at n=51A110060