20210908, 10:06  #34 
"Oliver"
Sep 2017
Porta Westfalica, DE
3^{2}×73 Posts 
As you found out by yourself, 1,753,961 is not a prime. You only slightly missed a "mega prime" (1,753,963)!
Last fiddled with by kruoli on 20210908 at 10:07 Reason: Added quotation. 
20210908, 16:34  #35 
Feb 2017
Nowhere
2^{2}·29·43 Posts 

20210909, 02:09  #36  
Feb 2017
Nowhere
2^{2}·29·43 Posts 
Quote:
[1004184, 2887029, 2050209, 1464435, 1046025, 1757322, 1255230, 1087866, 1506276, 3054393, 1380753, 1966527, 3765690, 2635983, 1882845, 1631799, 1422594, 1589958, 1129707, 4979079, 3556485, 3974895, 2426778, 4476987, 1213389, 2384937, 4560669, 1924686, 2803347, 2343096, 1673640, 1171548, 2008368, 4058577] Each of these 34 numbers is the 7digit block for the repeating decimal for a fraction k/239, for some k between 1 and 238. In each case, the value of k is obtained by dividing the 7digit number by 41841. For example, dividing 1004184 by 41841 gives 24, and 24/239 = .10041841004184... By cyclically permuting the digits in each block, the sevendigit blocks of the repeating decimals for the remaining fractions k/239, k = 1 to 238, are obtained. For example, cyclically permuting the digits of the first block gives 0041841, and .00418410041841... = 1/239; permuting again, 10/239 = .04184100418410..., 100/239 = .41841004184100..., 44/239 = .18410041841004... and so on. Each of the numbers is the smallest cyclic permutation of the block of digits whose leading digit is nonzero (i.e, a number between 1000000 and 9999999). Last fiddled with by Dr Sardonicus on 20210909 at 02:16 Reason: elaborate on permuting blocks of digits 

20210909, 04:25  #37 
"Matthew Anderson"
Dec 2010
Oregon, USA
906_{10} Posts 
Hi all,
Today's mega number is 3,152,781 And due to a modern computer tool we can see that this number can be written as 3*3*137*2557. Matt Last fiddled with by MattcAnderson on 20210909 at 04:28 Reason: oops mega number not mega prime 
20210909, 13:30  #38 
6809 > 6502
"""""""""""""""""""
Aug 2003
101×103 Posts
10,009 Posts 
There is no need for a modern computer to factor that number.

20210909, 16:30  #39 
Feb 2017
Nowhere
2^{2}×29×43 Posts 
Especialy in light of (my emphasis)If you can do that "by inspection" (and determining 131893 is prime by TF requires dividing 131893 by all primes up to about 360), I'd say 3152781 could also be done "by inspection."

20210915, 03:24  #40 
"Matthew Anderson"
Dec 2010
Oregon, USA
2×3×151 Posts 
Hi all,
Today's favorite mega number is 3,157,793. My computer tool, Maple, tells us that this number has a full prime factorization of 53*59581. Regards, Matt 
20210916, 08:14  #41 
"Matthew Anderson"
Dec 2010
Oregon, USA
2·3·151 Posts 
Hi again all,
Today's favorite mega number is 2,456,921. My computer has Maple software, so, with the ifactor() command, I can see this number has full prime factorization of 53*151*307. Regards, Matt 
20210918, 05:20  #42 
"Matthew Anderson"
Dec 2010
Oregon, USA
2×3×151 Posts 
Hi all,
Today's favorite Mega number is 4,692,781. It's full prime factorization is 2677*1753. Regards, Matt 
20210926, 17:40  #43 
"Matthew Anderson"
Dec 2010
Oregon, USA
2×3×151 Posts 
Hi again all,
Today's favorite mega number is 9,876,567. The prime factorization of this number is 3*103*31,963. Have a nice day. Matt 
20211002, 02:52  #44 
"Matthew Anderson"
Dec 2010
Oregon, USA
2×3×151 Posts 
Hi all,
This mega number is 2,345,676. Due to Maple, we see that this number can be written as 2*2*3*47*4159. Enjoy Matt 
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