44101
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes of the form k^2 + 1.at n=36A002496
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (composite numbers), t = (F(2), F(3), ...).at n=16A024589
- Numbers whose divisors have the form m^k + 1, k>1.at n=38A054964
- Primes of form n^2 + mu(n), where mu is A008683.at n=11A062459
- Smallest prime that begins with the n-th square in decimal notation.at n=20A065145
- Primes which can be expressed as concatenation of powers of 4 and 0's.at n=30A066595
- Primes p such that (p-1) and the period length of 1/p are both squares.at n=19A076516
- a(n) = smallest prime which can be expressed as a sum of distinct powers of n.at n=33A077724
- Primes p such that p*(p-2) divides 2^(p-1)-1.at n=13A081762
- Primes p such that p*(p-2) divides 3^(p-1)-1.at n=11A081764
- Smallest prime which is one more than the square of a squarefree number with n prime divisors.at n=4A084436
- Table read by rows where i-th row consists of primes P of the form P=(j*P(i)#)^2 +1 with 0 < j < P(i+1). Here P(i)# = A002110(i).at n=8A087728
- Primes p such that all prime factors of p-1 have exponent 2.at n=15A089195
- a(n) = n^3 + n^2 + 1.at n=35A098547
- Numbers n such that the numbers of divisors of n,n+1,n+2 and n+3 are k,2k,4k,8k respectively for some k.at n=18A100364
- Smallest prime of the form: one or more 4's followed by prime(n) (or 0 if no such prime exists).at n=25A114786
- Primes of the form k^3 + k^2 + 1.at n=12A120479
- Primes of the form 4*k^2 + 1.at n=35A121326
- Primes associated with A127435.at n=14A127436
- Primes p such that continued fraction of (1 + sqrt(p))/2 has period 3.at n=57A146348