48787

Properties

Appears in sequences

• First term of strong prime sextets: p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2) > p(m+4)-p(m+3) > p(m+5)-p(m+4).at n=16A054813
• Numbers k such that 3*5^k - 2 is prime.at n=29A057917
• Primes with digit sum = 34.at n=31A106769
• Sum of parts, counted without multiplicities, in all partitions of n into odd parts.at n=43A116930
• Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having k DDUU's starting at level 2.at n=40A135329
• Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 1000-1111-1000 pattern in any orientation.at n=12A146416
• Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only in a 1000-1111-1000 pattern in any orientation.at n=27A146418
• Primes p of the form 4m+3 for which there are exactly as many primitive roots modulo p in the interval [0,p/2] as in the interval [p/2,p].at n=35A172490
• G.f. satisfies: A(x) = (1+x*A(x))*(1+x^2*A(x)^2)*(1+x^3*A(x)).at n=11A182267
• Primes of the form 2n^3+9.at n=6A201111
• Total number of even parts in the last section of the set of partitions of n.at n=42A206434
• Primes p such that p+12, p+1234 and p+123456 are also prime.at n=18A236304
• Primes p such that the decimal expansion of its base 7 expansion converted to decimal is a square.at n=22A241246
• Number of Carlitz compositions of n with exactly three descents.at n=14A241693
• Primes formed by an m-digit prime concatenated with its last (m-1) digits, for m > 1.at n=21A252667
• Primes having only {4, 7, 8} as digits.at n=19A385795
• Primes having only {0, 4, 7, 8} as digits.at n=32A386074
• Primes having only {4, 5, 7, 8} as digits.at n=43A386190
• Primes having only {4, 6, 7, 8} as digits.at n=41A386193
• Prime numbersat n=5017