MKT 1, 513 (P255010)
Mathematical, Old Babylonian · c. 1900 BCE–1600 BCE
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| Designation | MKT 1, 513 |
|---|---|
| ID | P255010 |
| Museum no. | YBC 04698 |
| Collection | Yale Babylonian Collection, New Haven, Connecticut, USA |
| Language | Akkadian |
| Period | Old Babylonian · c. 1900 BCE–1600 BCE |
| Genre | Mathematical |
| Find spot | uncertain (mod. uncertain) |
English translation
By Middeke-Conlin, Robert; Proust, Christine · Via Cuneiform Digital Library Initiative · CDLI (reuse with citation)
| Line | English |
|---|---|
| obverse col 1 1 | (Problem 1:) (When the principal in) grain (is) as much as 1 gur of grain, |
| obverse col 1 2 | 1 barig of grain as the interest I give. |
| obverse col 1 3 | The grain and the interest are how much? |
| obverse col 1 4 | (Problem 2:) (When the principal in) grain (is) as much as 1 gur of grain, |
| obverse col 1 5 | 1 barig 4 ban2 as the interest I give. |
| obverse col 1 6 | The grain and the interest are how much? |
| obverse col 1 7 | (Problem 3:) (Rates in-kind are) 3 sila3 of first quality oil per (gin2) |
| obverse col 1 8 | (and) 1 ban2 2 sila3 of common oil per (gin2). |
| obverse col 1 9 | 1 gin2 of silver I gave. |
| obverse col 1 10 | Common oil and first quality oil |
| obverse col 1 11 | I made equal and I bought. |
| obverse col 1 12 | (Problem 4:) 90 DUG of iron |
| obverse col 1 13 | 9? DUG of gold, |
| obverse col 1 14 | 1 mana silver I gave. |
| obverse col 1 15 | The iron and gold |
| obverse col 1 16 | (is) 1 gin2 and I bought. |
| obverse col 1 17 | (Problem 5:) 1/2 mana of silver I gave. |
| obverse col 1 18 | 1 gur per (gin2) I bought. |
| obverse col 2 1 | (Problem 6:) 30 gur grain |
| obverse col 2 2 | 1 gur of grain per (gin2) I bought, |
| obverse col 2 3 | 4 barig of grain per (gin2) I sold. |
| obverse col 2 4 | The profit in silver is how much? |
| obverse col 2 5 | 7 1/2 gin2 of silver is the profit. |
| obverse col 2 6 | (Problem 7:) The initial price is how much? |
| obverse col 2 7 | (Problem 8:) 1 gur of common oil. |
| obverse col 2 8 | 1 ban2 per (gin2) I bought and, |
| obverse col 2 9 | 8 sila3 per (gin2) I sold. |
| obverse col 2 10 | The profit is how much? |
| obverse col 2 11 | 7 1/2 gin2 is the profit. |
| obverse col 2 12 | (Problem 9:) 1 gur of common oil. |
| obverse col 2 13 | When the purchase is 1! (text: 2) gin2, |
| obverse col 2 14 | 2 sila3 I cut. |
| obverse col 2 15 | 7 1/2 gin2 is the profit. |
| obverse col 2 16 | How much did I buy? |
| obverse col 2 17 | How much did I sell? |
| obverse col 2 18 | 1 ban2 I bought and |
| obverse col 2 19 | 8 sila3 I sold. |
| reverse col 1 1 | (Problem 10:) 1 gur of common oil. |
| reverse col 1 2 | 9 sila3 per (gin2) I bought, |
| reverse col 1 3 | 7 1/2 sila3 per (gin2) I sold. |
| reverse col 1 4 | The profit is how much? |
| reverse col 1 5 | 6 2/3 gin2 is the profit |
| reverse col 1 6 | (Problem 11:) 1 gur of common oil. |
| reverse col 1 7 | When the purchase is 1 gin2, 1 1/2 sila3 I cut. |
| reverse col 1 8 | 6 2/3 gin2 is the profit. |
| reverse col 1 9 | How much did I buy? How much did I sell? |
| reverse col 1 10 | 9 sila3 I bought, and 7 1/2 sila3 is sold. |
| reverse col 1 11 | (Problem 12:) (Per) 7 mana and 11 mana of ... wool |
| reverse col 1 12 | 1(disz) gin2 I paid. I made equal and I bought. |
| reverse col 1 13 | 4.16.40 I bought. |
| reverse col 1 14 | (Problem 13:) Per 7 sila3 of common oil |
| reverse col 1 15 | per 1 ban2 2 sila3 of lard, |
| reverse col 1 16 | 1 gin2 I gave. I made equal and I bought: 2 ban2 3 1/3 sila3. |
| reverse col 1 17 | (Problem 14:) (When) rates (in-kind are) as much as 1 2 3 4 5 |
| reverse col 1 18 | 6 7 8 9, the rate (in grain) |
| reverse col 1 19 | 1 barig I give. Let the grain rise |
| reverse col 1 20 | or fall so that |
| reverse col 1 21 | the rates in-kind are equal. |
| reverse col 2 1 | (Problem 15:) Rate in-kind for 3 fish, 5 sila3 |
| reverse col 2 2 | for 5 fish, fish ... |
| reverse col 2 3 | The grain I added: 4 (gur) 1 barig 4 ban2 5 (2?) (sila3) |
| reverse col 2 4 | The fish I added. Let the fish |
| reverse col 2 5 | and the grain rise or fall |
| reverse col 2 6 | so that the fish are equal. |
| reverse col 2 7 | (Problem 16:) As much as the rates in-kind of the lead |
| reverse col 2 8 | silver I weighed and |
| reverse col 2 9 | lead I bought. |
| reverse col 2 10 | The silver and the lead I added: |
| reverse col 2 11 | 7 mana. The silver and the lead |
| reverse col 2 12 | are how much? |
| reverse col 2 13 | (Problem 17:) Stones I received and |
| reverse col 2 14 | their weight I don’t know. |
| reverse col 2 15 | 6 (stones) per (gin2) I bought. |
| reverse col 2 16 | 6 gold inlaid (stones) per (gin2 I bought). |
| reverse col 2 17 | Gold inlaid (stones), |
| reverse col 2 18 | as much as 6 (stones) per (gin2) I bought. |
| reverse col 2 19 | The stone, the silver how much |
| reverse col 2 20 | did I add? 1/2 mana 1 1/2 gin2 |
| reverse col 2 21 | ... I added and |
| reverse col 2 22 | 1 mana 3 gin2. |
| reverse col 2 23 | 3rd tablet. |
Transliteration (ATF)
From Cuneiform Digital Library Initiative · CDLI: reuse of catalogue/transliteration data with citation of CDLI; images restricted (not fetched)
| Line | ATF | Machine English (draft) |
|---|---|---|
| obverse col 1 | ||
| 1 | _sze_ a-na _1(asz) sze gur_ | |
| 2 | _1(barig) sze_ a-na _masz2 szum2_ | |
| 3 | _sze u3 masz2 en-nam_ | |
| 4 | _sze_ a-na _1(asz) sze gur_ | |
| 5 | _1(barig) 4(ban2)_ a-na _masz2 szum2_ | |
| 6 | _sze u3 masz2 en-nam_ | |
| 7 | _3(disz) sila3-ta i3 sag_ | |
| 8 | _1(ban2) 2(disz) sila3-ta i3-gesz_ | |
| 9 | _1(disz) gin2 ku3-babbar szum2_ | |
| 10 | _i3-gesz u3 i3 sag_ | |
| 11 | _ib2-sa2_-ma _sa10_ | |
| 12 | _1(gesz2) 3(u) dug an-bar_ | |
| 13 | _9(disz)? dug ku3-sig17_ | |
| 14 | _1(disz) ma-na ku3-babbar szum2_ | |
| 15 | _an-bar u3 ku3-sig17_ | |
| 16 | _1(disz) gin2_-ma _sa10_ | |
| 17 | _1/2(disz) ma-na ku3-babbar szum2_ | |
| 18 | _1(asz) gur-ta sa10_ | |
| obverse col 2 | ||
| 1 | _3(u) sze gur_ | |
| 2 | _1(asz) sze gur-ta sa10-ma_ | |
| 3 | _4(barig) sze-ta bur2-ra_ | |
| 4 | _ku3 diri en-nam_ | |
| 5 | _7(disz) 1/2(disz) gin2 ku3-babbar diri_ | |
| 6 | _sag ku3-bi en-nam_ | |
| 7 | _1(asz) gur i3-gesz_ | |
| 8 | _1(ban2)-ta sa10-ma_ | |
| 9 | _8(disz) sila3-ta bur2-ra_ | |
| 10 | _ku3 diri en-nam_ | |
| 11 | _7(disz) 1/2(disz) gin2 ku3 diri_ | |
| 12 | _1(asz) gur i3-gesz_ | |
| 13 | _i-na sa10 1(disz)! gin2_ | |
| 14 | _2(disz) sila3 szusz4_ | |
| 15 | _7(disz) 1/2(disz) gin2 ku3 diri_ | |
| 16 | _en-nam sa10-ma_ | |
| 17 | _en-nam bur2-ra_ | |
| 18 | _1(ban2) sa10-ma_ | |
| 19 | _8(disz) sila3 bur2-ra_ | |
| reverse col 1 | ||
| 1 | _1(asz) gur i3-gesz_ | |
| 2 | _9(disz) sila3-ta sa10-ma_ | |
| 3 | _7(disz) 1/2(disz) sila3 bur2-ra_ | |
| 4 | _ku3 diri en-nam_ | |
| 5 | _6(disz) 2/3(disz) gin2 ku3 diri_ | |
| 6 | _1(asz) gur i3-gesz_ | |
| 7 | i-na _sa10 1(disz) gin2 1(disz) 1/2(disz) sila3 szusz4_ | |
| 8 | _6(disz) 2/3(disz) gin2 ku3 diri_ | |
| 9 | _en-nam sa10-ma en-nam bur2-ra_ | |
| 10 | _9(disz) sila3 sa10-ma 7(disz) 1/2(disz) sila3 bur2-ra_ | |
| 11 | _7(disz) ma-na u3 1(u) 1(disz) ma-na siki gesz?_ | |
| 12 | _1(disz) gin2 ku3 szum2 ib2-sa2_-ma _sa10-ma_ | |
| 13 | _4(disz) 1(u) 6(disz) 4(u) sa10_ | |
| 14 | _7(disz) sila3-ta i3-gesz_ | |
| 15 | _1(ban2) 2(disz) sila3-ta i3-szah2_ | |
| 16 | _1(disz) gin2 szum2 ib2-sa2_-ma _sa10 2(ban2) 3(disz) 1/3(disz) sila3_ | |
| 17 | _ganba_ a-na _1(disz) 2(disz) 3(disz) 4(disz) 5(disz)_ | |
| 18 | _6(disz) 7(disz) 8(disz) 9(disz) ganba_ | |
| 19 | _1(barig) sze szum2 sze he2-e3_ | |
| 20 | _u3 he2-e11_-ma | |
| 21 | _ganba ib2-sa2_ | |
| reverse col 2 | ||
| 1 | _ganba 3(disz) ku6-a 5(disz) sila3_ | |
| 2 | _5(disz) ku6-a ku6 x-x_ | |
| 3 | _sze gar-gar_-ma _4(asz) 1(barig) 4(ban2) 5(disz)? <sila3>_ | |
| 4 | _ku6-a gar-gar_-ma _ku6_ | |
| 5 | _sze he2-e3 u3 he2-e11_-ma | |
| 6 | _ku6-a ib2-sa2_ | |
| 7 | ma-la _ganba hi-a nagga_ | |
| 8 | _ku3 i3?-la2_-ma | |
| 9 | _nagga sa10_ | |
| 10 | _ku3 u3 nagga gar-gar_-ma | |
| 11 | _7(disz) ma-na ku3 u3 nagga_ | |
| 12 | _en-nam_ | |
| 13 | _na4 szu-ti-a_-ma | |
| 14 | _ki-la2-bi nu-zu_ | |
| 15 | _6(disz)-ta sa10_ | |
| 16 | _6(disz)-ta ku3-sig17 gar-ra_ | |
| 17 | _ku3-sig17 gar-ra_ | |
| 18 | a-na _6(disz)-ta sa10_ | |
| 19 | _na4 ku3-babbar en-nam_ | |
| 20 | _gar-gar_-ma _1/2(disz) ma-na 1(disz) 1/2(disz) gin2_ | |
| 21 | _x ma na? gar-gar_-ma | |
| 22 | _1(disz) ma-na 3(disz) gin2_ | |
| 23 | ($ blank space $) _dub 3(disz)-kam-ma_ | |
Sources & licences
- Cuneiform Digital Library Initiative · CDLI: reuse of catalogue/transliteration data with citation of CDLI; images restricted (not fetched) · Cuneiform Digital Library Initiative (CDLI), https://cdli.earth/ ; cite CDLI and the P-number
Cite the original edition and translator. Page generated by Unread Atlas from the public corpus export of 2026-10-11.