19429
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 99.at n=15A020438
- Values of A (the short leg) of a Pythagorean triangle with A and C (the hypotenuse) both prime and part of a twin prime.at n=33A051642
- Denominators of convergents to Pi by Farey fractions.at n=39A063673
- Last term of prime quadruples.at n=18A090258
- Primes p such that the sum of the digits of p is not prime, but the sum of the cubes of the digits of p is prime.at n=32A091365
- Initial members of 25 consecutive primes in a 5 X 5 spiral wherein the mean of all 12 sums is prime.at n=33A094458
- Numbers k such that k^3 contains a pandigital substring.at n=15A115933
- Primes p such that p^2-p-1 and p^2-p+1 are twin primes.at n=39A120364
- Least prime p for which Mertens's function M(p) = n.at n=40A123172
- Primes p such that their cubes are pandigital.at n=9A124629
- List of strictly non-palindromic twin primes {p, p+2}.at n=13A138329
- Primes congruent to 31 mod 61.at n=37A142829
- Primes p such that p^3 - 12 and p^3 + 12 are also primes.at n=24A153322
- Primes p of the form : p+p^2+p^3-+8=prime.at n=16A154823
- Number of parts in all partitions of n in which no part occurs more than twice.at n=36A185350
- Number of -3..3 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^(t+u+v)) having one, two, three, four, six, seven or eight distinct values for every i,j,k<=n.at n=4A211761
- Prime numbers p such that p^3 is an interprime = average of two successive primes.at n=29A248799
- Table read by rows: list of prime 5-tuples of the form (p, p+2, p+6, p+8, p+12).at n=28A270998
- Table read by rows: list of prime 5-tuples of the form (p, p+4, p+6, p+10, p+12).at n=39A270999
- Table read by rows: list of prime sextuplets (p, p+4, p+6, p+10, p+12, p+16).at n=22A271000