61547

Properties

Appears in sequences

• Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[6, 6,2]; short d-string notation of pattern = [662].at n=30A078857
• Members of A083989 whose 10's complement is also a member of A083989.at n=37A083991
• Numbers m such that m and all of its even complements from 2 to 10 are primes. In other words, m and j^k - m (where k is the smallest power of j such that j^k > m) are prime for all of the following values of j: 2, 4, 6, 8, 10.at n=17A086082
• Slowest-increasing sequence of noncomposite numbers such that the partial sums of the sequence are perfect powers.at n=12A137355
• a(n) is the first term that can be reduced in n steps via repeated interpretation of a(n) as a base b+1 number where b is the largest digit of a(n), such that b is always 7 so that each interpretation is base 8. Terms already fully reduced (i.e., single digits) are excluded.at n=7A141841
• Middle of 3 consecutive prime numbers, p1, p2, p3, such that p1*p2*p3*d1*d2 = average of twin prime pairs; d1 (delta) = p2 - p1, d2 (delta) = p3 - p2.at n=29A153410
• Primes p such that the 10's complement A089186(p) and the concatenations of p and A089186(p) and of A089186(p) and p are all prime.at n=34A372082
• Prime numbersat n=6191