48677

Properties

Appears in sequences

• a(n) = p is the smallest prime introducing a consecutive prime-difference pattern as follows: [2,2n,2], i.e., [p, p+2, p+2+2n, p+2+2n+2] are consecutive primes. Increasing middle prime gap in the immediate neighborhood of two small gaps(=2); a(n) = 0 if no such pattern exists.at n=25A082512
• Table read by rows giving the coefficients of general sum formulas of n-th sums of Bell numbers (A005001). The k-th row (k>=1) contains T(i,k) for i=1 to 2*k and k=1 to n-3, where T(i,k) satisfies Sum_{q=1..n} Bell(q) = 1 + C(n,2) + Sum_{k=1..n-3} Sum_{i=1..2*k} T(i,k) * C(n-k-2,1).at n=25A102735
• Primes from merging of 5 successive digits in decimal expansion of the Euler-Mascheroni Constant.at n=2A104939
• Primes from merging of 5 successive digits in decimal expansion of Euler-Mascheroni constant.at n=2A198779
• Primes of the form 4n^3+9.at n=7A201121
• Primes of the form 8n^2 + 5.at n=20A201612
• Number of n X n arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 n X n array.at n=4A219845
• Number of n X 5 arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 n X 5 array.at n=4A219849
• T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nXk array.at n=40A219852
• Number of 5Xn arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 5Xn array.at n=4A219856
• Primes having primitive roots 2, 3, 5, 7, 11, 13, and 17.at n=18A241048
• Initial members of prime quadruples (n, n+2, n+144, n+146).at n=28A248523
• Initial members of prime quadruples (n, n+2, n+54, n+56).at n=35A248661
• Smallest prime starting a sequence of 4 consecutive odd primes such that the center of the symmetrical gaps is 2n.at n=25A263171
• a(n) = n^2 + 2329*n + 1697.at n=20A301985
• Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 3, 7 or 8 king-move adjacent elements, with upper left element zero.at n=6A316515
• Number of nX7 0..1 arrays with every element unequal to 0, 1, 2, 3, 7 or 8 king-move adjacent elements, with upper left element zero.at n=4A316517
• Primes having only {4, 6, 7, 8} as digits.at n=39A386193
• Prime numbersat n=5007