29641

Properties

Appears in sequences

• a(n)^2 is the smallest square containing exactly n 8's.at n=5A048353
• Primes in the sequence A064491.at n=42A113866
• Primes p1 such that p1^2+p2^3=pp are average of twin primes. p1 and p2 consecutive primes, p1 < p2.at n=30A138715
• a(n) = 1 + n*(n+1)*(n-1)/2.at n=39A158842
• Primes in A161190.at n=39A161191
• Primes p such that 5*p+2, 7*p+4 and 11*p+6 are also prime.at n=30A173880
• Centered 40-gonal numbers.at n=38A195317
• Primes of the form 5*k^2 - 4.at n=20A201786
• Primes of the form k!7+1, where k!7 is the septuple factorial number (A114799).at n=10A288717
• Ramsey-Comer numbers: a(n) is the smallest prime p congruent to 1 mod 2n such that for every prime q >= p (also congruent to 1 mod 2n), the multiplicative subgroup H of (Z/qZ)* of index n contains a solution to x+y = z.at n=29A294676
• Numbers n with the property that n^2 contains a sequence of four or more consecutive 8's.at n=15A301938
• Primes dividing nonzero terms in A002065.at n=33A328704
• Number of integer partitions of n with the same length as reverse-alternating sum.at n=59A357487
• Number of integer partitions of 2n - 1 with the same length as alternating sum.at n=29A357488
• a(n) is the constant term in expansion of Product_{k=1..n} (x^(k*(k+1)/2) + 1 + 1/x^(k*(k+1)/2)).at n=15A369344
• Prime numbersat n=3217