The Counting Game

[Wusti]

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

[damo666]

610 the lowest sphenic Fibonacci number

[MYRIAD_CARDS]

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

[damo666]

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

What?

[bananegagnante]

612 the area code of minneapolis

[azcat1990]

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.

[PRINCE WILLIAM]

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

[dargorygel]

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

[damo666]

616 Number of the Beast (alternative)

[dargorygel]

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

[Jamiet99uk]

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

[PRINCE WILLIAM]

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.

[dargorygel]

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.

[azcat1990]

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

[damo666]

622 diameter in mm of standard bicycle wheel

[PRINCE WILLIAM]

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.

[dargorygel]

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.

[damo666]

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.

[90kicvesb]

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)

[TheFlyingBoat]

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.