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In the year 609 Pope Boniface converted the Pantheon in Rome to a Christian Cathedral.

610 the lowest sphenic Fibonacci number

611, a number whose only non-prime factors are 13 and 47.

MYRIAD_CARDS wrote: ↑

Thu Jan 14, 2021 2:59 am

611, a number whose only non-prime factors are 13 and 47.

What?

612 the area code of minneapolis

6:13 the length of Bob Dylan's "Like A Rolling Stone"

Columbia Records was unhappy with both the song's length at over six minutes and its heavy electric sound, and was hesitant to release it. It was only when a month later a copy was leaked to a new popular music club and heard by influential DJs that the song was put out as a single. Although radio stations were reluctant to play such a long track, "Like a Rolling Stone" reached No. 2 in the US Billboard charts (No. 1 in Cashbox) and became a worldwide hit.

6, 14 The passage in Genesis, where God asks Noah to build the Ark.

6:15 the common alarm clock time for me in the winter.

616 Number of the Beast (alternative)

6:17 the earliest I can expect to be actually awake after the earlier alarm noise.

Area code 618 is the telephone area code serving southern Illinois. Some of the main cities in 618 include Carbondale, Cairo, Belleville and Shelbyville.

619 AD The church offers emperor Heraclius many of its golden utensils to be melt providing him with the necessary gold to raise new armies to fight the Persian attack.

620
The number of horses, apparently, in a 2015 Corvette engine. I do not think I would put horses of any number in a Corvette. I would not even want 620 clowns in my Corvette.

621 - the height in meters (or metres if you prefer) of the tallest "mountain" on the Isle of Man: Snaefell (Old Norse: snjœ-fjall/snjó-fall – snow mountain). The summit is crowned by a railway station, cafe and several communications masts

622 diameter in mm of standard bicycle wheel

623 AD Emperor Heraclius defeats the Persian and retakes Armenia, worse than that is that he has the road to central provinces of the Persian empire open to him.

624 Hektor is an asteroid in Jupiter's orbit... the largest of those gathered in Jupiter's Trojan (or LaGrange) points. It is believed it would be a good mineral mining source, if we could get out there.

625 = 5^4 = (5^2)^2 = 25^2

The lowest square number that is in the sum of 7 consecutive primes.

The number of (UHF) lines BBC2 was transmitted in on its introduction in 1964.

Contrary to what one might think at first glance, X^4 + 1 does indeed have a polynomial factorization with real coefficients.

626 = (25 + sqrt(2)*5 + 1) * (25 - sqrt(2)*5 + 1)

90kicvesb wrote: ↑

Mon Jan 18, 2021 10:15 pm

Contrary to what one might think at first glance, X^4 + 1 does indeed have a polynomial factorization with real coefficients.

626 = (25 + sqrt(2)*5 + 1) * (25 - sqrt(2)*5 + 1)

I will note that no one disagrees or thought that x^4+1 can be factorized over R. It's factorization over R is relatively straightforward:

(x^2-sqrt(2)*x+1)(x^2+sqrt(2)*x+1).

When people say that x^4+1 is irreducible they meant that there is no reduction over Q, the field of rational number, of which root 2 is not one. x^4+1 has no real roots nor is it reducible in Q.

627 featured the famous battle of Nineveh in which the Byzantines cross the Great Zab to defeat the Sassanid Empire.