37799
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^9 in powers of x.at n=36A001487
- a(n) = A104350(n) - 1.at n=9A104357
- Smallest prime factor of A104357(n) = A104350(n) - 1.at n=8A104358
- Greatest prime factor of A104357(n) = A104350(n) - 1.at n=8A104359
- Primes of the form A104350(k) - 1.at n=6A104364
- Primes with digit sum = 35.at n=10A106770
- Primes p such that p's set of distinct digits is {3,7,9}.at n=26A108385
- Number of n X n binary arrays with all ones connected only in a 00100-00100-00100-11111 pattern in any orientation.at n=9A147318
- a(n) = 42*n^2 - 1.at n=29A158626
- Numbers m such that m mod k is k-1 for all k = 2..9.at n=14A166931
- a(n) is the smallest prime such that exactly n prime pairs (p,q) exist with a(n) = p * q + p + q.at n=10A198277
- Numbers m such that m, m-1, m-2 and m-3 are 1,2,3,4-almost primes respectively.at n=39A201220
- Smallest number m such that A226460(m) = n.at n=25A226462
- Primes related to the strictly increasing subsequence of A053666.at n=41A230041
- Numbers k where records occur for d(k+1)/d(k), where d(k) is A000005(k).at n=20A282531
- Primes with integer arithmetic mean of digits = 7 in base 10.at n=40A285227
- Primes p for which sigma(p+1)/sigma(p) reaches a record value, where sigma(k) is the divisor sum function (A000203).at n=18A326393
- Primes p such that p^3 - 1 has 8 divisors.at n=34A341659
- Indices where the cumulative sum of cos(2k+1)^(2k+1) reaches a record high value.at n=4A389559
- Prime numbersat n=3998