The 13th year of Josiah (AM 3599) unto the 1st year of Nebuchadnezzar (Jer 25:1, 46:2; AM 3617 - Jehoiakim + 4 (Jer 25:1) = AM 3621) is 23 years (Jer 25:3), inclusive reckoning (AM 3586 - Josiah + 13 (Jer 25:3) = AM 3599; thus AM 3599 (1) + 22 = 23 years; Jer 25:3; AM 3621))
AM 3586 - Josiah - AM 3617 (13th year is AM 3599)
AM 3617 - Jehoahaz - AM 3617
AM 3617 - Jehoiakim - AM 3628 (4th year is AM 3621, is 23 years inclusive (Jer 25:3), 1st year of Nebuchadnezzar; Jer 25:1, 46:2; Jehoiakim is 36 years old when taken captive (2 Chr 36:6) in AM 3628)
AM 3628 - Jehoaichin - AM 3628/9 (is the 8th year of Nebuchadnezzar's reign (2 Chr 24:12, 36:9-10; 2 Ki 24:8; Jer 24:1, 29:2; Eze 17:12))
AM 3629 - Zedekiah - AM 3640 (9th year is AM 3638, is the 17th year of Nebuchadnezzar (Jer 39:1, 52:5), thus AM 3621 – AM 3638 = 17 years)
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Now, let's see if we can confirm with what was given in Ezekiel:
Ezekiel 4:4 Lie thou also upon thy left side, and lay the iniquity of the house of Israel upon it: according to the number of the days that thou shalt lie upon it thou shalt bear their iniquity.
Ezekiel 4:5 For I have laid upon thee the years of their iniquity, according to the number of the days, three hundred and ninety days: so shalt thou bear the iniquity of the house of Israel.
Ezekiel 4:6 And when thou hast accomplished them, lie again on thy right side, and thou shalt bear the iniquity of the house of Judah forty days: I have appointed thee each day for a year.
The iniquity of Israel (northern) was 390 years.
The iniquity of Judah (southern) was 40 years.
The total iniquitous years (combined) was 430 years.
Ezekiel spends 390 days on his one side (a little over a year, 360 + 30, or one year, one month), and this began in the 5th year, 4th month, 5th day, of Jehoiachin's captivity (Eze 1:1-2; AM 3634), and would thus end in the 6th year, 5th month, 5th day of Jehoiachin's captivity; AM 3635.
Ezekiel's additional 40 days (30 + 10; or a month and 10 days) for Judah, would come to it's end in the 6th year, 6th month, 15th day of Jehoiachin's captivity; AM 3635.
AM 3245 - Rehoboam's reign - AM 3262
Jeroboam had first set up two idols, one at Bethel (southern border of Israel), and the other at Dan (northern border of Israel) (1 Ki 12:28-30; 2 Ki 10:29, 17:16; 2 Chr 11:15; Hos 4:15, 8:4-7, 10:5-6; Amo 8:14), and then after a time offered on the altar he had made in the 1st year of Rehoboam's reign (AM 3245), in the 8th month, 15th day (1 Ki 12:32-33; AM 3245) which was a month (30 days) later, as a counterfeit or substitute, to the feast of Tabernacles/Booths/Ingathering, which always took place in the 7th month, 15th day (Lev 23:39), in Jerusalem.
AM 3245 (Jeroboam's sin) + 390 years = AM 3635, precisely the time of the end of Ezekiel's 390 day sleeping on the one side.
1 Kings 12:26 And Jeroboam said in his heart, Now shall the kingdom return to the house of David:
1 Kings 12:27 If this people go up to do sacrifice in the house of the LORD at Jerusalem, then shall the heart of this people turn again unto their lord, even unto Rehoboam king of Judah, and they shall kill me, and go again to Rehoboam king of Judah.
1 Kings 12:28 Whereupon the king took counsel, and made two calves of gold, and said unto them, It is too much for you to go up to Jerusalem: behold thy gods, O Israel, which brought thee up out of the land of Egypt.
1 Kings 12:29 And he set the one in Bethel, and the other put he in Dan.
1 Kings 12:30 And this thing became a sin: for the people went to worship before the one, even unto Dan.
1 Kings 14:16 And he shall give Israel up because of the sins of Jeroboam, who did sin, and who made Israel to sin.
1 Kings 15:26 And he did evil in the sight of the LORD, and walked in the way of his father, and in his sin wherewith he made Israel to sin.
1 Kings 15:30 Because of the sins of Jeroboam which he sinned, and which he made Israel sin, by his provocation wherewith he provoked the LORD God of Israel to anger.
1 Kings 15:34 And he did evil in the sight of the LORD, and walked in the way of Jeroboam, and in his sin wherewith he made Israel to sin.
1 Kings 16:2 Forasmuch as I exalted thee out of the dust, and made thee prince over my people Israel; and thou hast walked in the way of Jeroboam, and hast made my people Israel to sin, to provoke me to anger with their sins;
1 Kings 16:19 For his sins which he sinned in doing evil in the sight of the LORD, in walking in the way of Jeroboam, and in his sin which he did, to make Israel to sin.
1 Kings 16:26 For he walked in all the way of Jeroboam the son of Nebat, and in his sin wherewith he made Israel to sin, to provoke the LORD God of Israel to anger with their vanities.
1 Kings 16:31 And it came to pass, as if it had been a light thing for him to walk in the sins of Jeroboam the son of Nebat, that he took to wife Jezebel the daughter of Ethbaal king of the Zidonians, and went and served Baal, and worshipped him.
1 Kings 21:22 And will make thine house like the house of Jeroboam the son of Nebat, and like the house of Baasha the son of Ahijah, for the provocation wherewith thou hast provoked me to anger, and made Israel to sin.
1 Kings 22:52 And he did evil in the sight of the LORD, and walked in the way of his father, and in the way of his mother, and in the way of Jeroboam the son of Nebat, who made Israel to sin:
2 Kings 3:3 Nevertheless he cleaved unto the sins of Jeroboam the son of Nebat, which made Israel to sin; he departed not therefrom.
2 Kings 10:29 Howbeit from the sins of Jeroboam the son of Nebat, who made Israel to sin, Jehu departed not from after them, to wit, the golden calves that were in Bethel, and that were in Dan.
2 Kings 10:31 But Jehu took no heed to walk in the law of the LORD God of Israel with all his heart: for he departed not from the sins of Jeroboam, which made Israel to sin.
2 Kings 13:2 And he did that which was evil in the sight of the LORD, and followed the sins of Jeroboam the son of Nebat, which made Israel to sin; he departed not therefrom.
2 Kings 13:6 Nevertheless they departed not from the sins of the house of Jeroboam, who made Israel sin, but walked therein: and there remained the grove also in Samaria.)
2 Kings 13:11 And he did that which was evil in the sight of the LORD; he departed not from all the sins of Jeroboam the son of Nebat, who made Israel sin: but he walked therein.
2 Kings 14:24 And he did that which was evil in the sight of the LORD: he departed not from all the sins of Jeroboam the son of Nebat, who made Israel to sin.
2 Kings 15:9 And he did that which was evil in the sight of the LORD, as his fathers had done: he departed not from the sins of Jeroboam the son of Nebat, who made Israel to sin.
2 Kings 15:18 And he did that which was evil in the sight of the LORD: he departed not all his days from the sins of Jeroboam the son of Nebat, who made Israel to sin.
2 Kings 15:24 And he did that which was evil in the sight of the LORD: he departed not from the sins of Jeroboam the son of Nebat, who made Israel to sin.
2 Kings 15:28 And he did that which was evil in the sight of the LORD: he departed not from the sins of Jeroboam the son of Nebat, who made Israel to sin.
2 Kings 17:21 For he rent Israel from the house of David; and they made Jeroboam the son of Nebat king: and Jeroboam drave Israel from following the LORD, and made them sin a great sin.
2 Kings 17:22 For the children of Israel walked in all the sins of Jeroboam which he did; they departed not from them;