20929
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes that divide at least one term of Sylvester's sequence s = A000058: s(n+1) = s(n)^2 - s(n) + 1, s(0) = 2.at n=36A007996
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 94 ones.at n=23A031862
- Primes which are the concatenation of numbers n_1, n_2, n_3, in that order, with n_1 + n_2 = n_3 (leading zeros are forbidden for nonzero n_i).at n=34A067860
- Primes which remain prime after one and after two applications of the rotate-and-add operation of A086002.at n=14A086003
- Primes in which the digit string can be partitioned into three parts such that the sum of the first two is equal to the third, and the second part is nonzero.at n=33A088291
- Primes of the form (prime(prime(k)) + prime(prime(k+1)))/2.at n=19A098042
- Primes of the form 128n+65.at n=38A105129
- Primes p such that their cubes are pandigital.at n=12A124629
- Primes congruent to 6 mod 61.at n=39A142804
- Number of binary words of length n containing at least one subword 1001 and no subwords 10^{i}1 with i<2.at n=26A143282
- Primes p such that p^3-p^2-1 and p^3-p^2+1 are prime.at n=33A160858
- a(1) = 7; for n > 1, a(n) = smallest prime strictly greater than sum of previous terms.at n=12A165549
- Primes p such that each decimal digit of p is equal to the difference of two other digits of p.at n=14A255892
- Primes having only {0, 2, 9} as digits.at n=12A261268
- Expansion of b(2)*b(4)*b(6)/(x^8-x^4-x+1), where b(k) = (1-x^k)/(1-x).at n=28A265055
- Numbers k such that 3*10^k + 11 is prime.at n=18A295396
- a(n) = a(n-1) + 3*a(n-2) -2*a(n-3) - 2*a(n-4), where a(0) = -2, a(1) = 0, a(2) = 0, a(3) = 1.at n=19A295858
- Primes p such that A001175(p) = (p-1)/6.at n=25A308791
- Irregular triangle read by rows: Numbers of unbranched k-5-catafusenes.at n=59A323944
- Prime numbers congruent to 49 or 121 modulo 240 representable by x^2 + 150*y^2.at n=33A325089