OEIS sequence A088782

sweety439 · 2018-04-29, 19:55

This sequence is in fact the reversed Sierpinski problem with k=10, according to the thread http://mersenneforum.org/showthread.php?t=10354&page=8, this sequence can be extended to a(184), and a(185) is > 10^6 due to the Sierpinski base 185 problem, and the related sequence A088783 can be added another term 177, since a prime 10*173^264234 is known.

Also the sequence A119624 (the reversed Sierpinski problem with k=2) can be extended to a(364), and A119591 (the reversed Riesel problem with k=2) can be extended to a(580).

JeppeSN · 2018-04-30, 06:43

You are absolutely right. This is about primes 10*b^t + 1 for fixed b when t runs from 1 through infinity. You call it reversed Sierpiński?

I am extending A088783 as you suggested (see "History" of the entry until edits are approved).

/JeppeSN

sweety439 · 2018-04-30, 14:05

Quote:

Originally Posted by JeppeSN

You are absolutely right. This is about primes 10*b^t + 1 for fixed b when t runs from 1 through infinity. You call it reversed Sierpiński?

I am extending A088783 as you suggested (see "History" of the entry until edits are approved).

/JeppeSN

Not just I called, please see A263500.

You can also extend A088782 to n=184, A119624 to n=364, A253178 to n=242 and A119591 to n=580 (by create a b-file).

sweety439 · 2018-04-30, 14:09

Besides, you can create a-files for these sequences for the status (with some unknown terms, you can use "?" for them and give the test limits) to n=1000.

JeppeSN · 2018-04-30, 15:21

OK, it is a reference to Krywaruczenko, Daniel (2008) "A Reverse Sierpinski Number Problem," Rose-Hulman Undergraduate Mathematics Journal: Vol. 9 : Iss. 2 , Article 4. I will fix the link to that paper in OEIS. /JeppeSN

sweety439 · 2018-04-30, 19:16

Quote:

Originally Posted by sweety439

Besides, you can create a-files for these sequences for the status (with some unknown terms, you can use "?" for them and give the test limits) to n=1000.

Also write a reference to CRUS page.

sweety439 · 2018-04-30, 19:17

Quote:

Originally Posted by JeppeSN

OK, it is a reference to Krywaruczenko, Daniel (2008) "A Reverse Sierpinski Number Problem," Rose-Hulman Undergraduate Mathematics Journal: Vol. 9 : Iss. 2 , Article 4. I will fix the link to that paper in OEIS. /JeppeSN

For A263500, I found a(n) for all n<=64 in the post http://mersenneforum.org/showpost.ph...56&postcount=2.

JeppeSN · 2018-04-30, 22:52

Sweety439, I think you should update those OEIS entries yourself. /JeppeSN

2018-04-29, 19:55	#1
sweety439 "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 5×7×83 Posts	OEIS sequence A088782 This sequence is in fact the reversed Sierpinski problem with k=10, according to the thread http://mersenneforum.org/showthread.php?t=10354&page=8, this sequence can be extended to a(184), and a(185) is > 10^6 due to the Sierpinski base 185 problem, and the related sequence A088783 can be added another term 177, since a prime 10*173^264234 is known. Also the sequence A119624 (the reversed Sierpinski problem with k=2) can be extended to a(364), and A119591 (the reversed Riesel problem with k=2) can be extended to a(580).

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2018-04-30, 06:43	#2
JeppeSN "Jeppe" Jan 2016 Denmark 2³·3·7 Posts	You are absolutely right. This is about primes 10b^t + 1 for fixed b when t runs from 1 through infinity. You call it reversed* Sierpiński? I am extending A088783 as you suggested (see "History" of the entry until edits are approved). /JeppeSN

2018-04-30, 14:09	#4
sweety439 "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 2905₁₀ Posts	Besides, you can create a-files for these sequences for the status (with some unknown terms, you can use "?" for them and give the test limits) to n=1000.

2018-04-30, 15:21	#5
JeppeSN "Jeppe" Jan 2016 Denmark 2³×3×7 Posts	OK, it is a reference to Krywaruczenko, Daniel (2008) "A Reverse Sierpinski Number Problem," Rose-Hulman Undergraduate Mathematics Journal: Vol. 9 : Iss. 2 , Article 4. I will fix the link to that paper in OEIS. /JeppeSN

2018-04-30, 22:52	#8
JeppeSN "Jeppe" Jan 2016 Denmark 2³×3×7 Posts	Sweety439, I think you should update those OEIS entries yourself. /JeppeSN