22247

Properties

Appears in sequences

• Sum of 10 positive 9th powers.at n=16A003399
• Primes p such that p, p+12, p+24 are consecutive primes.at n=23A052188
• Primes of the form 2*k*prime(k) + 1.at n=15A062403
• Numbers k such that k^4 = x^3 + y^2 has an integer solution.at n=43A096741
• Primes whose digits do not appear in two previous terms.at n=26A107798
• Smallest prime of the form: all twos followed by prime(n). a(n) > prime(n). 0 if no such prime exists.at n=14A114784
• Primes in the sequence A003294 of certain fourth powers bases.at n=16A134820
• Numbers k such that k and k^2 use only the digits 0, 2, 4, 7 and 9.at n=25A136907
• a(n) = A139480(n)/2.at n=25A139481
• Prime numbers containing the string 222.at n=3A166580
• Expansion of g.f. (1/2)*( a*(1+x)^n + b*(1-x)^(n+2)*LerchPhi(x, -n-1, 1) + c*2^(n+1)*(1-x)^(n+1)*LerchPhi(x, -n, 1/2) ), where a = -4, b = 2, and c = 2, read by rows.at n=23A168518
• Expansion of g.f. (1/2)*( a*(1+x)^n + b*(1-x)^(n+2)*LerchPhi(x, -n-1, 1) + c*2^(n+1)*(1-x)^(n+1)*LerchPhi(x, -n, 1/2) ), where a = -4, b = 2, and c = 2, read by rows.at n=25A168518
• Primes p such that 8*2^(2p)-1 is also prime.at n=8A174288
• Primes of the form 15*k^2 - 15*k + 17.at n=28A220081
• Initial prime of 4 primes in arithmetic progression with difference 12.at n=44A248085
• Number of solutions to c(1)*prime(4)+...+c(n)*prime(n+3) = -2, where c(i) = +-1 for i > 1, c(1) = 1.at n=23A261044
• Numerators of upper primes-only best approximates (POBAs) to sqrt(2); see Comments.at n=14A265774
• Numerators of primes-only best approximates (POBAs) to sqrt(2); see Comments.at n=10A265776
• Number of ways to remove n oranges from an infinite stack of oranges whose m-th layer is an m X (m+4) rectangle.at n=11A274598
• Primes p such that 2*p^2-q^2 and 2*q^2-p^2 are prime, where q is the next prime after p.at n=44A338836