# [seqfan] Re: Sum of next consecutive primes

zak seidov zakseidov at yahoo.com
Sat May 20 18:33:55 CEST 2017

```Thx, Harvey, a lot.

4th line should be
{7, 11, 13, 17, 19, 23, 29},119
and a(4)=6, as you correctly mentioned.
Most (numerous) errors in all my presentationsare of copy-paste origin:(.In any way I'm not going to submit it,and anyone, including you, is welcome to submit.

From: Harvey P. Dale <hpd at hpdale.org>
To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
Sent: Saturday, May 20, 2017 3:30 PM
Subject: [seqfan] Re: Sum of next consecutive primes

Zak:

I think the first 100 terms would look like this: 2, 2, 6, 6, 6, 6, 4, 8, 4, 30, 7, 31, 37, 67, 22, 60, 46, 38, 69, 13, 65, 76, 19, 163, 9, 52, 100, 84, 66, 136, 66, 119, 33, 79, 47, 76, 187, 214, 37, 96, 461, 111, 62, 189, 510, 37, 256, 121, 130, 132, 144, 481, 64, 195, 53, 47, 136, 90, 194, 318, 526, 151, 788, 1542, 31, 273, 1041, 313, 407, 147, 165, 700, 1128, 390, 257, 887, 531, 289, 658, 523, 618, 454, 1141, 1024, 190, 86, 236, 389, 218, 190, 100, 751, 901, 574, 562, 211, 141, 253, 606, 958.

I think the numbers in your email are occasionally wrong? For example, the “96” in the row beginning with 5 should be 90? And the numbers in the row beginning with 7 are not consecutive primes, so a(4) should be 6 rather than 5?
Best,
Harvey

-----Original Message-----
From: SeqFan [mailto:seqfan-bounces at list.seqfan.eu] On Behalf Of Zak Seidov via SeqFan
Sent: Thursday,  May 18,  2017 6:31 PM
To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
Cc: Zak Seidov <zakseidov at mail.ru>
Subject: [seqfan] Sum of next consecutive primes

New SEQ?

Sum of next a(n) consecutive primes after prime(n) is a multiple of prime(n):

2, 2, 6, 5, 6,  6, 4, 8, 4, 30

{2,  3,  5},  10

{3,  5,  7},  15

{ 5,  7, 11, 13, 17, 19, 23},  96

{7, 18, 31, 48, 67, 90}, 119

{11, 13, 17, 19, 23, 29, 31}, 143

{13, 17, 19, 23, 29, 31, 37}, 169

{17, 19, 23, 29, 31}, 119

{19, 23, 29, 31, 37, 41, 43, 47, 53}, 323

{23, 29, 31, 37, 41}, 161

{29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89,

97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149,

151, 157, 163, 167, 173}, 2987

{31, 37, ...}, ?

--

Zak  Seidov

```