58757

Properties

Appears in sequences

• a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 2, and a(3) = 1.at n=16A049949
• a(0)=2. a(n) = smallest prime > a(n-1) such that (Sum_{k=0..n} a(k)) is a power of a prime.at n=10A139021
• Primes p such that 2*p^3 + 1 and 2*p^3 + 3 are also primes.at n=29A252042
• Least prime p such that pi(p*n)^2 + 1 = prime(q*n) for some prime q.at n=23A260219
• Primes having only {5, 7, 8} as digits.at n=20A260830
• Primes p such that (p^512 + 1)/2 is prime.at n=14A341264
• Primes having only {0, 5, 7, 8} as digits.at n=39A386079
• Primes having only {5, 6, 7, 8} as digits.at n=38A386196
• Prime numbersat n=5944