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Reciprocal table (TMN Ist Ni 374)
Old Babylonian school table of reciprocals from Nippur, including numbers that have none.
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| Designation | TMN Ist Ni 00374 |
|---|---|
| Museum no. | Ist Ni 00374 |
| Collection | Arkeoloji Müzeleri, Istanbul, Turkey |
| Language | Sumerian |
| Period | Old Babylonian |
| Genre | Mathematical |
| Provenience | Nippur (mod. Nuffar) |
| Findspot | 32.1271, 45.23 |
| CDLI no. | P257557 |
| Source | Cuneiform Digital Library Initiative — CDLI: reuse of catalogue/transliteration data with citation of CDLI; images restricted (not fetched) |
| Lines | 68 (68 with machine English) |
| Font | Santakku (Old Babylonian (cursive)), by Sylvie Vanséveren |
Machine draft. English generated by model atf-en-best-v2 (montycrypto/atf-to-english) (version d871547f92875415dbbc7f4a37fd65e35f8ac97d) on 2026-10-05, line by line from the ATF. Not a scholarly translation.
| Line | ATF | Cuneiform | English (machine draft) |
|---|---|---|---|
| obverse col 1 | |||
| 1 | [1-da] igi# | ·· 𒅆 | 1 (ninda) before |
| 2 | [2 gal2]-bi# & 30 | · ·𒁉 · 𒌍 | there are 2 in number. |
| 3 | [igi 3-gal2]-bi# & 20 | · 𒐈·𒁉 · 𒎙 | its 3rd |
| 4 | [igi 4] & 15 | · · · 𒌋𒐊 | reciprocal 4 and 15 |
| 5 | [igi 5] & 12 | · · · · | reciprocal 5 and 12 |
| 6 | [igi 6] & 10 | · · · 𒌋 | reciprocal 6 and 10 |
| 7 | [igi 7] & nu | · · · 𒉡 | reciprocal 7... |
| 8 | [igi 8] & [7].30 | · · · ·𒌍 | reciprocal 8 and 7 30 |
| 9 | [igi 9] & [6].40 | · · · ·𒐏 | reciprocal 9 and 6 40 |
| 10 | [igi 10] & 6 | · · · 𒐋 | reciprocal 10 and 6 |
| 11 | [igi 11] & nu | · · · 𒉡 | reciprocal 11... |
| 12 | [igi 12] & 5 | · · · 𒐊 | reciprocal 12 and 5 |
| 13 | [igi 13] & nu | · · · 𒉡 | reciprocal 13: not. |
| 14 | [igi 14] & nu | · · · 𒉡 | reciprocal 14: not. |
| 15 | [igi 15] & 4 | · · · · | reciprocal 15 and 4 |
| obverse col 2 | |||
| 1 | [igi] 16 & 3.45 | · · · 𒐈· | reciprocal 16 and 3 45 |
| 2 | igi 17 & [nu] | 𒅆 · · · | before 17+n+ |
| 3 | igi 18 & 3.20 | 𒅆 · · 𒐈𒎙 | reciprocal 18 |
| 4 | [igi 19] & [nu] | · · · · | reciprocal 19+ |
| 5 | igi 20 & 3 | 𒅆 𒎙 · 𒐈 | reciprocal 20 and 3 |
| 6 | igi 21 & nu | 𒅆 · · 𒉡 | reciprocal 21 |
| 7 | igi 22 & [nu] | 𒅆 · · · | reciprocal 22... |
| 8 | [igi] 23 & [nu] | · · · · | reciprocal 23 |
| 9 | [igi 24] & [2].30 | · · · ·𒌍 | reciprocal 24 and 2 30 |
| 10 | igi 25 & 2.24 | 𒅆 · · 𒈫· | reciprocal 25 |
| 11 | igi 26 & nu | 𒅆 · · 𒉡 | reciprocal 26 |
| 12 | igi 27 & 2.13.20 | 𒅆 · · 𒈫·𒎙 | reciprocal 27 |
| 13 | igi 28 & nu | 𒅆 · · 𒉡 | reciprocal 28 |
| 14 | igi 29 & nu | 𒅆 · · 𒉡 | reciprocal 29 |
| 15 | igi 30 & 2 | 𒅆 𒌍 · 𒈫 | reciprocal 30 |
| 16 | igi 31 & nu | 𒅆 · · 𒉡 | reciprocal 31 |
| 17 | igi 32 & 1.52.30 | 𒅆 · · 𒁹·𒌍 | reciprocal 32 |
| reverse col 1 | |||
| 1 | igi 33 & nu | 𒅆 · · 𒉡 | reciprocal 33 |
| 2 | igi 34 & nu | 𒅆 · · 𒉡 | reciprocal 34 |
| 3 | igi 35 & nu | 𒅆 · · 𒉡 | reciprocal 35 |
| 4 | igi 36 & 1.40 | 𒅆 · · 𒁹𒐏 | reciprocal 36 |
| 5 | igi 37 & nu | 𒅆 · · 𒉡 | reciprocal 37 |
| 6 | igi 38 & nu | 𒅆 · · 𒉡 | reciprocal 38 |
| 7 | igi 39 & nu | 𒅆 · · 𒉡 | reciprocal 39 |
| 8 | igi 40 & 1.30 | 𒅆 𒐏 · 𒁹𒌍 | reciprocal 40 |
| 9 | igi 41 & nu | 𒅆 · · 𒉡 | reciprocal 41 |
| 10 | igi 42 & nu | 𒅆 · · 𒉡 | reciprocal 42 |
| 11 | igi 43 & nu | 𒅆 · · 𒉡 | before 43, not |
| 12 | igi 44 & nu | 𒅆 · · 𒉡 | reciprocal 44 |
| 13 | igi 45 & 1.20 | 𒅆 · · 𒁹𒎙 | reciprocal 45 |
| 14 | igi 46 & nu | 𒅆 · · 𒉡 | reciprocal 46 |
| 15 | igi 47 & nu | 𒅆 · · 𒉡 | reciprocal 47 |
| 16 | igi 48 & 1.15 | 𒅆 · · 𒁹𒌋𒐊 | reciprocal 48 and 1 15 |
| 17 | igi 49 & nu | 𒅆 · · 𒉡 | reciprocal 49 |
| 18 | igi 50 & 1.12 | 𒅆 𒐐 · 𒁹· | reciprocal 50 |
| reverse col 2 | |||
| 1 | [igi 51] & nu | · · · 𒉡 | reciprocal 51... |
| 2 | [igi 52] & nu | · · · 𒉡 | reciprocal 52... |
| 3 | [igi 53] & nu | · · · 𒉡 | reciprocal 53 not... |
| 4 | igi 54 & 1.6.40 | 𒅆 · · 𒁹𒐋𒐏 | reciprocal 54 |
| 5 | igi 55 & nu | 𒅆 · · 𒉡 | reciprocal 55 |
| 6 | igi 56 & nu | 𒅆 · · 𒉡 | reciprocal 56 not ; |
| 7 | igi 57 & nu | 𒅆 · · 𒉡 | 57 (ninda), not |
| 8 | igi 58 & nu | 𒅆 · · 𒉡 | before 58 (ninda), not |
| 9 | igi 59 & nu | 𒅆 · · 𒉡 | before 59 (ninda), not |
| 10 | [igi 1] & 1 | · · · 𒁹 | reciprocal 1 and 1 |
| 11 | [igi 1.4] & [56.15] | · 𒁹· · ·· | reciprocal 1 4 and 56 15 |
| 12 | [igi 1.12] & 50 | · 𒁹· · 𒐐 | reciprocal 1 12 |
| 13 | [igi 1.15] & 48# | · 𒁹· · · | reciprocal 1 15 |
| 14 | [igi 1.20] & 45 | · 𒁹· · · | reciprocal 1 20 |
| 15 | [igi 1.21] & [44].26#.40 | · 𒁹· · ··𒐏 | reciprocal 1 21 |
| 16 | [igi 1.30] & 40 | · 𒁹· · 𒐏 | reciprocal 1 30 |
| 17 | [igi 1.36] & 37#.30 | · 𒁹· · ·𒌍 | reciprocal 1 36 |
| 18 | [igi 1.40] & 36 | · 𒁹· · · | reciprocal 1 40 |