18869
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Convolution of natural numbers with composite numbers.at n=39A023539
- Consider all integer triples (i,j,k), j,k>0, with i^3=j^3+binomial(k+2,3), ordered by increasing i; sequence gives i values.at n=21A054234
- Smallest primes whose residue modulo its difference from the next prime is 2n-1.at n=14A060235
- Irregular primes with irregularity index three.at n=30A060975
- Smallest prime p of two consecutive primes, p < q, such that gcd(p+1, q+1) = 2n.at n=14A067604
- Primes associated with groups in A076077.at n=30A076076
- Primes p = prime(i) such that p(i)# - p(i+1) is prime.at n=17A093078
- Primes with digit sum = 32.at n=10A106768
- prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 9.at n=23A109563
- Primes p such that q-p = 30, where q is the next prime after p.at n=21A124596
- Father primes of order 8.at n=29A136077
- Primes congruent to 20 mod 61.at n=31A142818
- Primes congruent to 35 mod 73.at n=28A154628
- Numbers k such that k^2 + 1 == 0 (mod 41^2).at n=22A157116
- Primes p such that p plus or minus the sum of the fourth powers of its digits is a prime in both cases.at n=26A179595
- Primes of the form p^2+100, where p is prime.at n=17A182476
- Fajtlowicz p-primes.at n=30A185955
- Primes which are the sum of two numbers of the form k*(k+1)^2/2.at n=38A210646
- Primes congruent to 1 mod 53.at n=38A212377
- Primes that are arithmetical average of 100 consecutive primes.at n=8A217985