Perhaps a Google Translate from otherwise readable French?

Or an April Fool posted from a time zone where it was already 1 April. Don't assume the location is necessarily correct.

The quote from ewmayer strongly suggests it's a joke.

Chris

[QUOTE=chris2be8;370163]Or an April Fool posted from a time zone where it was already 1 April. Don't assume the location is necessarily correct.

The quote from ewmayer strongly suggests it's a joke.

Chris[/QUOTE]

Perhaps. However, based upon prior posts from the same poster, I am
not sure. It is on the same intellectual level as some of the OP's prior
posts.

[QUOTE]This "conjecture" is basically a joke.[/QUOTE]I humbly suggest a new mathematical term: [B]conjoketure[/B],

- - - -

Folks,

[U]This may be original! You read it here first![/U]

Neither a Google search nor a Yahoo! search on "conjoketure" returns any result.

[quote=Google]Did you mean:
[URL="https://www.google.com/search?q=conjecture&spell=1&sa=X&ei=Qv09U-5Nss2xBNq-goAH&ved=0CCUQBSgA"][B][I]conjecture[/I][/B][/URL]

[URL="https://www.google.com/search?q=conjointure&spell=1&sa=X&ei=Qv09U-5Nss2xBNq-goAH&ved=0CCYQBSgB"][B][I]conjointure[/I][/B][/URL]

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[URL="https://www.google.com/search?q=conjoncture&spell=1&sa=X&ei=Qv09U-5Nss2xBNq-goAH&ved=0CCgQBSgD"][B][I]conjoncture[/I][/B][/URL]




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OTOH, it's hard to believe that "conjoketure" has never before been pronounced in some hall of academe.

[QUOTE=cheesehead;370273]OTOH, it's hard to believe that "conjoketure" has never before been pronounced in some hall of academe.[/QUOTE]
You'd expect so if the same sort of joke has been worked out before by serious mathematicians. Is there anything else comparable?

I wonder who chose the name "New Mersenne Conjecture". That strikes me as possibly tongue-in-cheek in itself, sounding rather grand and at the same time possibly digging at the large number of arbitrary, unproven and probably unprovable statements which people have already made before in Number Theory.

Perhaps I'll get a citation in a future edition of the OED because I first put it in publicly-accessible written form.

[QUOTE=cheesehead;370273]I humbly suggest a new mathematical term: [B]conjoketure[/B][/QUOTE]Cool.[QUOTE=cheesehead;370741]Perhaps I'll get a citation in a future edition of the OED because I first put it in publicly-accessible written form.[/QUOTE]Oops, not so humble anymore. :showoff:

:razz:

Humble fame.

[QUOTE=R.D. Silverman;369985]Yes. Furthermore, John indicated that he was not really serious
when he proposed it.

This "conjecture" is basically a joke.[/QUOTE]

Nowadays math is full with conjectures! Missing the proofs!
Euclid would rotate in his grave when he knew what math turned into the last 2000 years.

[QUOTE=ATH;369976]So I made a new list myself: [B][URL="http://www.hoegge.dk/mersenne/NMC.html"]NMC.html[/URL][/B]
[/QUOTE]

You can extended the table to include more terms in [URL="https://oeis.org/A122834"]A122834[/URL], now this table includes all known Mersenne exponents ([URL="https://oeis.org/A000043"]A000043[/URL]) and all known Wagstaff exponents ([URL="https://oeis.org/A000978"]A000978[/URL]), but only include [URL="https://oeis.org/A122834"]A122834[/URL](n) for n<=27, currently both WM61 and WM127 have known prime factors (1328165573307087715777 and 886407410000361345663448535540258622490179142922169401, respectively), although neither [URL="http://www.doublemersennes.org/mm61.php"]MM61[/URL] nor [URL="http://www.doublemersennes.org/mm127.php"]MM127[/URL] have known prime factor, however, if either MM61 or MM127 is prime, then the New Mersenne Conjecture would be false, you can extended the table to include all numbers in [URL="https://oeis.org/A122834"]A122834[/URL] up to M127

I suggest:

* Test all Wagstaff numbers with exponent below 15 million (at least prove or disprove that 13347311 and 13372531 are the next two Wagstaff exponents after 4031399), W13347311 and W13372531 are discovered in 2013 (8 years ago!!!), but currently [URL="https://mersenneforum.org/showthread.php?t=24185"]only the Wagstaff numbers with exponent below 10 million are tested[/URL].
* Prove the primality of W95369, [URL="http://factordb.com/index.php?id=1100000000017713329"]W83339[/URL] has been proven prime in 2014 (7 years ago!!!), and W95369 is just a little larger than it, also recently a much larger number [URL="https://www.ellipsa.eu/public/primo/top20.html"]Partition(1289844341)[/URL] has been proven prime with Primo.
* Test the Mersenne numbers and the Wagstaff numbers with exponent [URL="https://oeis.org/A122834"]A122834[/URL](n) for 29<=n<=34 (for n=28 and n=35, the corresponding Mersenne numbers are double Mersenne numbers MM61 and MM127, and both have no known prime factors, and the corresponding Wagstaff numbers are both factored and hence proven to be composite) (all these numbers are too large to use primality tests such as [URL="https://primes.utm.edu/prove/prove3_1.html"]N-1 primality test[/URL], [URL="https://primes.utm.edu/prove/prove3_2.html"]N+1 primality test[/URL], [URL="https://en.wikipedia.org/wiki/Miller%E2%80%93Rabin_primality_test"]Miller-Rabin primality test[/URL], [URL="https://mathworld.wolfram.com/Baillie-PSWPrimalityTest.html"]Ballie-PSW primality test[/URL], we can only use [URL="https://primes.utm.edu/glossary/page.php?sort=TrialDivision"]trial division[/URL] to find a divisor of the numbers to disprove their primality)