98893
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = 2*n - 3 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 3, and a(3) = 2.at n=16A049968
- Larger of 3 consecutive prime numbers such that p1*p2*p3 + d1 + d2 - 1 = average of twin prime pairs, d1 (delta) = p2 - p1, d2 (delta) = p3 - p2.at n=25A153405
- Number of (n+3) X 5 0..2 arrays with every 4 X 4 subblock commuting with each horizontal and vertical neighbor 4 X 4 subblock.at n=6A186582
- Number of (n+3)X10 0..2 arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock.at n=1A186587
- T(n,k)=Number of (n+3)X(k+3) 0..2 arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock.at n=29A186589
- Primes p with P(p-1) also prime, where P(.) is the partition function (A000041).at n=31A234569
- Primes p with g(p), g(g(p)), g(g(g(p))), g(g(g(g(p)))), g(g(g(g(g(p))))) all prime, where g(n) = prime(n) - n - 1.at n=1A236066
- Prime numbers p such that p - primepi(p) is a square, where primepi is the prime counting function.at n=34A245061
- a(n) = 2*n^5 - floor(2^(1/5)*n)^5.at n=15A257855
- Primes p such that p+4, 3*p+4 and 3*p+8 are also prime.at n=34A352170
- Primes in A284798.at n=23A372770
- a(n) is the greatest prime > a(n-1) obtained by inserting a single digit anywhere in its string of digits (including at the beginning or end), starting with a(1) = 3.at n=4A389723
- Prime numbersat n=9492