78557

Appears in sequences

• Odd k for which k+2^m is composite for all m < k.at n=27A033919
• (Provable) Sierpiński numbers: odd numbers n such that for all k >= 1 the numbers n*2^k + 1 are composite.at n=0A076336
• Conjectured smallest Sierpiński numbers of the second kind S, base b=2,3,4,5,..., where S*b^n+1 is composite for all n>=1 and gcd(S+1, b-1) = 1.at n=0A123159
• Least k such that k*2^m + 1 has a covering set with precisely n primes.at n=1A206001
• Smallest Sierpinski number that is divisible by the n-th prime.at n=5A222534
• Odd integers n such that for every integer k>0, n*2^k+1 has a divisor in the set { 3, 5, 7, 13, 19, 37, 73 }.at n=0A244562
• Least k such that k*2^m + 1 has a covering set of modulus 2*n, or 0 if no such value exists.at n=17A257647
• Partial sums of A092183.at n=4A302559
• a(1) = 78557 (the first Sierpinski number); thereafter a(n+1) = Od(3*5*7*13*19*37*73 - a(n)), where Od(m) is the odd part of m.at n=0A368560
• a(1) = 78557 (the first Sierpinski number); thereafter a(n+1) = Od(3*5*7*13*19*37*73 - a(n)), where Od(m) is the odd part of m.at n=14A368560