# [seqfan] Re: Sum of primes - 10^9 increment

Jonathan Post jvospost3 at gmail.com
Sat Feb 21 08:03:11 CET 2009

```Has anyone pointed out that the primes in this begin 17, 37550402023,
12212914292949226570880576733896687

That's a "bref" subsequence.  Is it worth submitting?

On Fri, Feb 20, 2009 at 10:57 PM, Robert G. Wilson, v <rgwv at rgwv.com> wrote:
> Dear Jacques,
>
> Prime Counts:
>
> A046731  Sum of primes < 10^n. (which is the first term of the sequences
> below:
> 0, 17, 1060, 76127, 5736396, 454396537, 37550402023, 3203324994356,
> 279209790387276, 24739512092254535, 2220822432581729238,
> 201467077743744681014, 18435588552550705911377,
> 1699246443377779418889494, 157589260710736940541561021,
> 14692398516908006398225702366, 1376110854313351899159632866552,
> 129408626276669278966252031311350, 12212914292949226570880576733896687,
> 1156251260549368082781614413945980126,
> 109778913483063648128485839045703833541,
> 10449550362130704786220283253063405651965
>
> A034387 Sum of primes < n: 0, 2, 5, 5, 10, 10, 17, 17, 17, 17, 28, 28,
> 41, 41, 41
> Sum of primes < 10*n:      17, 77, 129, 197, 328, 440, 568, 791, 963, 1060
> Sum of primes < 10^2*n:    1060, 4227, 8275, 13887, 21536, 29296, 39612,
> 50078, 62797, 76127
> Sum of primes < 10^3*n:    76127, 277050, 593823, 1013507, 1548136,
> 2174734, 2935471, 3738566, 4673790, 5736396
> Sum of primes < 10^4*n:    5736396, 21171191, 45675864, 79170666,
> 121013308, 171848738, 228890418, 296488208, 370927314, 454396537
> Sum of primes < 10^5*n:    454396537, 1709600813, 3709507114,
> 6458901531, 9914236195, 14071826345, 18910286312, 24465663438,
> 30689332265, 37550402023
> Sum of primes < 10^6*n:    37550402023, 142913828922, 312471072265,
> 544501644261, 838596693108, 1192390967254, 1607061425171, 2080483502248,
> 2613521583098, 3203324994356
> Sum of primes < 10^7*n:    3203324994356, 12272577818052,
> 26942805919966, 47088408550139, 72619548630277, 103468900363400,
> 139601928199359, 180946446237951, 227485624300931, 279209790387276
> Sum of primes < 10^8*n:    279209790387276, 1075207199997334,
> 2367646772295462, 4146437503168147, 6404774487532576, 9137303389808024,
> 12340337443955708, 16010026481858292, 20143329357815162, 24739512092254535
> Sum of primes < 10^9*n:    24739512092254535,
> Sum of primes < 10^10*n:   2220822432581729238, thereafter every tenth
> term above.
>
>    Between the two of us we should be able to quickly assemble a dozen
> sequence which put all of this in order. If you
> are willing I would like to jointly submit these twelve sequences with
> you. Each should have a hyper-link to a file
> which contains a 1000 terms.
>
> Sincerely yours,
> Robert G. "Bob" Wilson, v
> Ph.D.,  ATP / CF & GI
> an associate editor of the OEIS.
>
>
>
> Jacques Tramu wrote:
>
>>Hi SeqFans,
>>Let sp(n) = Sum of primes <=n
>>
>>For some reason (Carlos Rivera), I had to build and record the sequence :
>>
>>a[i] = sp(i * 10^9)    i=1,..,1000
>>
>>a[1] = 24739512092254535
>>...
>>a[10] = 2220822432581729238
>>...
>>a[1000] = 18435588552550705911377
>>
>>Is this sequence of any interest to the OEIS ?
>>
>>
>>-------------------------------------
>>http://www.echolalie.com/gbnums
>>-------------------------------------
>>
>>
>>
>>_______________________________________________
>>
>>Seqfan Mailing list - http://list.seqfan.eu/
>>
>>
>>
>
>
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>
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>

```