A337489
a(n) is the k-th prime, such that abs(prime(k) - Sum_{j=k-1..k+1} prime(j)/3) sets a new record.
Original entry on oeis.org
3, 7, 29, 113, 523, 1151, 1327, 9551, 15683, 19609, 25471, 31397, 156007, 360653, 370261, 492113, 1349533, 1357201, 1357333, 1562051, 2010733, 4652507, 17051707, 17051887, 20831323, 47326693, 47326913, 122164747, 189695893, 191912783, 387096133, 428045741, 436273291
Offset: 1
List of first terms:
a(n) pi(a(n)) average-median
3, 2, 1/3 = (2 + 3 + 5)/3 - 3
7, 4, 2/3 = (5 + 7 + 11)/3 - 7
29, 10, -4/3 = (23 + 29 + 31)/3 - 29
113, 30, 10/3
523, 99, 16/3
1151, 190, -20/3
1327, 217, 28/3
9551, 1183, 32/3
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a337489(limp) = {my(p1=0, p2=2, p3=3, s=p1+p2+p3, d=0); forprime(p=5, limp, s=s-p1+p; my(dd=abs(s/3-p3)); if(dd>d, print1(p3, ", "); d=dd); p1=p2; p2=p3; p3=p)};
a337489(500000000)
A337439
a(n) is the k-th prime, such that abs(prime(k) - Sum_{j=k-2..k+2} prime(j)/5) sets a new record.
Original entry on oeis.org
5, 7, 19, 47, 97, 109, 113, 199, 887, 1151, 1277, 1327, 9551, 11777, 14143, 15727, 19609, 25471, 31397, 156007, 360653, 370261, 492113, 1357201, 1357333, 1562051, 2010733, 4652507, 17051887, 20831323, 47326693, 47326913, 122164747, 189695893, 428045741, 436273291, 1453168433
Offset: 1
List of first terms:
a(n) pi(a(n)) average-median
5, 3, 3/5 = (2 + 3 + 5 + 7 + 11)/5 - 5
7, 4, 4/5 = (3 + 5 + 7 + 11 + 13)/5 - 7
19, 8, 6/5 = (13 + 17 + 19 + 23 + 29)/5 - 19
47, 15, 8/5
97, 25, -12/5
109, 29, 14/5
113, 30, 22/5
199, 46, 28/5
887, 154, 34/5
1151, 190, -36/5
1277, 206, -38/5
1327, 217, 12
9551, 1183, 14
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a337439(limp) = {my(p1=0,p2=2,p3=3,p4=5,p5=7,s=p1+p2+p3+p4+p5,d=0);forprime(p=11,limp, s=s-p1+p; my(dd=abs(s/5-p4)); if(dd>d,print1(p4,", ");d=dd); p1=p2;p2=p3;p3=p4;p4=p5;p5=p)};
a337439(500000000)
A337488
a(n) is the index k of prime(k), such that abs(prime(k) - Sum_{j=k-1..k+1} prime(j)/3) sets a new record.
Original entry on oeis.org
2, 4, 10, 30, 99, 190, 217, 1183, 1831, 2225, 2810, 3385, 14358, 30802, 31545, 40933, 103520, 104071, 104072, 118506, 149689, 325853, 1094421, 1094422, 1319945, 2850174, 2850175, 6957876, 10539433, 10655462, 20684332, 22749705, 23163299, 33772762, 64955634, 64955635
Offset: 1
Showing 1-3 of 3 results.
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