George R. Law's “Identification of Darius the Mede” makes the connection on page 164:
God’s decree took the kingdom from Belshazzar and gave it to Darius
the Mede, who actively received the kingdom.
In the introduction of Darius the Mede, there is an incidental hint,
the approximate sixty-two-year-old age of Darius. The identification
method employed in chapter four of this dissertation shows the value
of knowing someone’s age and using it as an identifying mark.
The matching of the age of Cyrus the Great with the age of Darius the
Mede was a significant qualifying characteristic which helped to
identify Cyrus as Darius the Mede, but there might be another reason
why the author provided this hint.
This number, which is otherwise extraneous information, is specific to
three things in
the book of Daniel: 1) Darius, 2) Cyrus, and 3) the prophecy of the
weeks. The author might be using the approximate age of Darius,
sixty-two (62), to emphasize the prophecy of the seventy weeks
determined upon Israel and Jerusalem (Dan 9:24).
This prophecy of the seventy (70) weeks is divided into three
segments: seven (7) weeks + sixty-two (62) weeks + one (1) week (Dan
9:25-26). Cyrus, the 62-year-old conqueror, gave the commandment
granting the Jews permission to return to the land and to rebuild
their temple in Jerusalem. In Daniel 9:25, after a commandment is
given to initiate the restoration of Jerusalem and its temple, and
after the conclusion of the prophesied 62 weeks, that temple, which
Cyrus commanded to rebuild, is to be destroyed. The link between the
62-year-old Darius the Mede and the 62-year-old Cyrus the Great
reinforces this prophecy concerning the 62 weeks which is to pass
before the new Temple will be destroyed.
While I'm not a history professor, I don't think the time line fits.
I'll just drop this random fragment from Gerald Sigal. I can't find the whole article, so props to anyone who can locate the rest of Part Six:
The second anointed one
Verse 26. And after the sixty-two weeks an anointed one shall be cut
off, and he shall have nothing; the people of a leader who is to come
shall destroy the city and the Sanctuary; and its end shall be with a
flood; and until the end of war desolations are determined.
Verse 26 is concerned with events that are to take place after “the
sixty-two weeks.” It is only after the sixty-two weeks that an
anointed one is cut off and no mention is made of how long after this
will occur. That is all that can be derived from the text. As
previously mentioned, the presence of a definite article before the
mention of sixty-two weeks shows that there is a separation between
the seven weeks and the sixty-two weeks. This emphasis necessitates a
grammatical division represented by a semi-colon in the rendering of
verse 25 to show that there is a division between the seven weeks and
the sixty-two weeks. The resultant span of years makes it impossible
for the two mentions of “anointed one” to refer to the same
individual.
In this time segment two events are mentioned. First, after a
sixty-two week period (434 years) of “troubled times” in which
Jerusalem “shall be built again, with broad place and moat” “an
anointed one shall be cut off.” Obviously, this anointed one is not
to be identified with the anointed one of verse 25. The time
differential is just too great. Second, this verse mentions the fate
of “the city and the Sanctuary” (that is, Jerusalem and the Temple),
which are to be destroyed by “the people of the leader who is to come”
as if by a devastating flood (cf. Nahum 1:8). Although “desolations
are determined” while the war is still in progress it is seen from
verse 27 that this verdict was put into full effect at the war’s end.
That is, its fulfillment did not end with the war but continued into
the future with further negative decrees and persecutions seeking to
destroy the Jewish people.
The first seven weeks of the seventy week period ends in 537 B.C.E.
with Cyrus the anointed one who issues the decree allowing the Jews to
return from exile. The second segment of sixty-two weeks in length,
covered by verse 26, culminates in 103 B.C.E. (586-49-434=103 B.C.E.).
Verse 26 indicates that “after sixty-two weeks an anointed one shall
be cut off.” This “anointed one” is the High Priest Alexander Yannai
(reign: 103-76 B.C.E.) who came to power just at the end of the
sixty-two week period in 103 B.C.E. and was the last of the important
Hasmonean leaders.6 There is nothing unusual in referring
to a high priest as an anointed one, since he was anointed on assuming
that position. Alexander Yannai also held the position of king, a
position formalized by anointing.
The phrase “after sixty-two weeks” indicates the time frame during
which the “anointed one shall be cut off,” that is, suffer karet,
“excision.” Alexander Yannai is not “cut off” immediately after
sixty-two weeks, but through the actions of his reign he was to have
this final judgment following his death. From this we see a further
indication that there are intervals between the specific identifiable
time periods. The penalty accompanying karet is here aptly described
as “to have nothing,” or “be no more.” That is, he will have no
reward after death.
This punishment is given to Alexander Yannai infamous for his unjust,
tyrannical, and bloody rule.7 He is notorious for his
violent animosity directed against the Pharisees and his brazen
rejection of the Oral Law.8 For example, Josephus records
that Alexander Yannai fought against the Pharisees for six years, “and
… slew no fewer than fifty thousand of them.”9 He also
“ordered some eight hundred of the Jews to be crucified, and
slaughtered their children and wives before the eyes of the still
living wretches.”10
Verse 26 shows when Alexander Yannai, the “anointed one,” would assume
power and what kind of punishment would be meted out to him for his
transgressions against God. Alexander Yannai’s sons and grandsons
continued his unmitigated lust for power and thereby finalized the
demise of the Hasmonean dynasty. The fate of these three generations
may be expressed by the psalmist’s words: “But transgressors shall be
destroyed together; the future of the wicked shall be cut off” (Psalms
37:38).11
Futhermore, the website writes:
Daniel was confused because although he now witnessed that, with the
advent of Darius the 70 years to the Babylonian subjugation were over
in fulfillment of Jeremiah 25:11-12, Daniel had not yet seen the
fulfillment of Jeremiah 29:10 that promised that after the 70 years
the Jewish exiles would return and rebuild Jerusalem. He did not
foresee that very shortly Cyrus world rule and fulfill this promise.
The only allusion I can find tying these numbers together is a cryptic reference in the Talmud. The Gemara (Megillah 10b) says that the phrase “Vayehi bimei” always indicates trouble. The gematria of vayehi is thirty-one, which doesn't always indicate trouble, but if bimei is added (which has the gematria of sixty-two) then there's surely trouble.
Rashi explains the trouble that arose 62 years before when Darius was born:
To tell you that on the day that Nebuchadnezzar entered the Heichal in
the days of Jehoiachin, his adversary, Darius, was born (Seder Olam
ch. 28). From the exile of Jeconiah until now were sixty-two years,
and the master said: They were exiled in the days of Jehoiachin in the
seventh year counting from the conquest of Jehoiakim, which is eight
years after the beginning of Nebuchadnezzar’s reign. There remained to
Nebuchadnezzar’s reign thirty-seven years, for he reigned forty-five
years, and twenty-three of Evil-merodach’s, as our Sages stated in
Tractate Megillah (11b), and the two years of Belshazzar that passed,
totaling sixty-two.
6 The Hasmonean dynasty ended in 37 B.C.E. with the execution of the last Hasmonean king, Mattathias Antigonus, by the Romans. Antigonus’ sister held Hyrcania, a fortress in the Judean desert, for another five or six years (Josephus, Jewish Wars I. 19. 1 [364].)
7 Alexander Yannai came to power after the culmination of the sixty-two weeks and is obviously the second anointed one. Calculating according to Seder Olam Rabbah an alternate anointed one is suggested. According to Seder Olam Rabbah, the First Temple was destroyed seventy years before the Second Temple was built, and the Second Temple, which was destroyed in 70 C.E., stood for 420 years. Accordingly, the First Temple was destroyed in 421 B.C.E. (not 420 — there is no zero year between 1 B.C.E. and 1 C.E.). This means that the first seven weeks ended in 372 B.C.E. (during the reign of Cyrus). The second segment of the Seventy Weeks period, sixty-two weeks in length, covered by verse 26, culminates in 62 C.E. (421-49-424=62 C.E.). The seventieth week would end in 69 C.E., followed by the Temple destruction. There are a number of questions concerning the accuracy of the Seder Olam Rabbah calculations.
According to this reckoning, the first “anointed one” mentioned is Cyrus. The second “anointed one” who verse 26 says will be “cut off” “after 62 weeks,” that is, suffer karet, “excision,” is the High Priest Ananias (Chanin). He was appointed high priest by Herod of Chalcis in 47 C.E., deposed by Agrippa II in 59 C.E., and killed by the Sicarii at the outset of the rebellion against Rome. He continued to wield considerable power after being replaced as high priest, “using his wealth to attract those who were willing to receive bribes” (Josephus, Jewish Antiquities XX.
9. 4 [213]). Of the post-62 B.C.E. period Josephus writes: “Now the high priest Ananias daily advanced greatly in reputation and was splendidly rewarded by the goodwill and esteem of the citizens; for he was able to supply them with money: at any rate he daily paid court with gifts to Albinus and the high priest. But Ananias had servants who were utter rascals and who, combining operations with the most reckless of men, would go to the threshing floors and take by force the tithes of the priests; nor did they refrain from beating those who refused to give. The high priests were guilty of the same practices as his slaves, and no one could stop them. So it happened at that time that those of the priests who in olden days were maintained by the tithes now starved to death” (Jewish Antiquities XX. 9. 2 [205-207]; see also T.B. Pesachim 57a: “Woe to me because of the house of Boethus … For they are High Priests and their sons are [Temple] treasurers and their sons-in-law are trustees and their servants beat the people with staves.”). “An anointed one shall be cut off” may in a sense refer to the anointed priesthood officiating in the Temple generally. In any case, Ananias exemplified those in the priesthood who through injustice grew wealthy in this world, disgraced the Temple and the priestly office, and caused needless hardship and death. As a result of his actions in this world there was nothing for him in the next world.
According to the calculation based on Seder Olam Rabbah, the second part of verse 26 describes the most crucial event occurring following the sixty-two weeks (that ended in 62 C.E.), the destruction of the city of Jerusalem and the Second Temple, “and the people [the Romans] of the leader [Pompey] who is to come, shall destroy” that is, the year 63 B.C.E. and subsequently.
8 “To him [the priest] who performed the libation they used to say, ‘Raise your hand!’ for on one occasion he poured it over his feet and all the people pelted him with their etrogim” (Mishnah Sukkah 4:9). Josephus (Jewish Antiquities XIII. 13. 5. [372]) identifies the offending priest as Alexander Yannai.
11 The early Hasmoneans called themselves mere custodians of the throne until the coming of the Messiah and the restoration of the Davidic monarchy. Once power was consolidated in their hands, they ruled without restraint.