77743
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Smallest 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=10A153406
- Primes of the form (n+1)^3 - n^2.at n=16A154113
- G.f.: A(x) = exp( Sum_{n>=1} (1 + C(2n-1,n-1)*x)^n * x^n/n ).at n=7A159320
- Primes containing 777 as a substring.at n=26A167282
- Number of (n+2) X 5 0..2 arrays with every 3 X 3 subblock commuting with each horizontal and vertical neighbor 3 X 3 subblock.at n=12A186562
- Primes having only {3, 4, 7} as digits.at n=49A199347
- Primes that remain prime when a single digit 7 is inserted between any two consecutive digits or as the leading or trailing digit.at n=28A215420
- Primes p such that 100*p+1, 100*p+3, 100*p+7, and 100*p+9 are all prime.at n=13A236042
- Primes p such that q = p mod A001414(p-1) = p mod A001414(p+1) is prime.at n=40A339182
- Prime numbersat n=7642