44111
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- a(0) = 1, a(n) = 29*n^2 + 2 for n>0.at n=39A010019
- Primes that contain digits 1 and 4 only.at n=8A020452
- Smallest nontrivial extension of n-th square which is a prime.at n=20A030685
- Primes in which each digit occurs in runs of at least 2.at n=8A034873
- Prime number spiral (clockwise, East spoke).at n=34A054555
- Primes which can be expressed as concatenation of powers of 4 and 0's.at n=31A066595
- If a,b are prime numbers satisfying the Diophantine equation a^3+b^3=c^2, then a is -1 mod 12 and b is 1 mod 12, or vice versa. Choose 'a' to be -1 mod 12. This is the sequence of 'a' values, sorted by the magnitude of c.at n=4A099806
- Row sums of triangle A137639.at n=39A137640
- Primes of the form k^2 + 11.at n=16A138362
- Values of p in A145767.at n=5A145797
- Primes p congruent to 11 mod 12 such that (p - 1)/2 does not divide the numerator of the Bernoulli number B(p-1).at n=31A232040
- Prime numbers containing the string 111.at n=25A243527
- Concatenation of multiplicities of prime divisors of highly composite numbers A002182(n).at n=34A245500
- Numbers x such that sigma(x) + sigma(R(x)) = sigma(x + R(x)), where R(x) is the digit reversal of x and sigma(x) is the sum of the divisors of x.at n=28A246487
- Primes having only {0, 1, 4} as digits.at n=19A260266
- Primes having only {1, 2, 4} as digits.at n=33A260267
- Primes having only {1, 4, 5} as digits.at n=22A260268
- Primes having only {1, 4, 6} as digits.at n=22A260269
- Primes having only {1, 4, 8} as digits.at n=18A260270
- Balanced primes of order fourteen.at n=7A300365