18587
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers k such that in k and k^2 the parity of digits alternates.at n=37A030153
- Primes p from A031924 such that A052180(primepi(p)) = 29.at n=11A052236
- Numbers k such that the product of the first k composite numbers minus 1 is a prime.at n=27A057017
- Primes p that have exactly three primitive roots that are not primitive roots mod p^2.at n=6A060519
- Output of the linear congruential pseudo-random number generator rand() used in Microsoft's Visual C++.at n=34A096558
- Expansion of (2-x-2*x^2-x^3)/(1-x-x^2)^2.at n=17A102702
- Primes congruent to 2 mod 59.at n=38A142729
- Primes congruent to 43 mod 61.at n=32A142841
- Primes p such that continued fraction of (1 + sqrt(p))/2 has period 6: primes in A146331.at n=21A146351
- Larger of 3 consecutive prime numbers such that p1*p2*p3*d1*d2=average of twin prime pairs; p1,p2,p3 consecutive prime numbers; d1(delta)=p2-p1, d2(delta)=p3-p2.at n=17A153411
- Numbers k such that the fractional part of (3/2)^k is less than 1/k.at n=10A153662
- Primes of the form 9*k^2-10*k+3.at n=12A154261
- Consecutive pairs of prime point sums in A161191 (includes triples).at n=35A161192
- a(n) = number of n-lettered words in the alphabet {1, 2, 3} with as many occurrences of the substring (consecutive subword) [1, 1] as of [1, 2].at n=10A211276
- n such that A275391(n) = n-2.at n=56A275800
- Number of set partitions of [n] such that for each block b the smallest integer interval containing b has at most six elements.at n=10A276722
- Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n)^2, where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4, b(2) = 5, and (a(n)) and (b(n)) are increasing complementary sequences.at n=13A296246
- Let N(p,i) denote the result of applying "nextprime" i times to p; a(n) = smallest prime p such that N(p,4) - p = 2*n, or -1 if no such prime exists.at n=36A339944
- Primes p such that p^4 - 1 has 160 divisors.at n=39A341662
- Numbers in A231626 but not in A343302; first of 5 consecutive deficient numbers in arithmetic progression with common difference > 1.at n=30A343303