. Acta Academiae Scientiarum Imperialis Petropolitanae. ••« m ) 40 ( s& dratorum. Quin etiam, fi N fuerit numerus par, veluti noftro cafu, lcilicet 4^ + 2, tunc etiam eius lemiffis cer- te eft fumma quatuor quadratorum. §. 3. Tota ergo quaefiio huc reducitur: Vtrum omnes numeri impariter pares, fiue formae 4 n + 2, fem- per in duas huiusmodi partes, quae fint formae 4 n -+ 1, fimulque numeri primi, fecari poffint, id quod per indu- ctionem inueftigemus. Conftitutis fcilicet numeris primis forma 4/24-1, qui funt 1, 5, 13, i7> 29, 37, 41» 53> $i, 73, etc. percurramus ordine omnes numer


. Acta Academiae Scientiarum Imperialis Petropolitanae. ••« m ) 40 ( s& dratorum. Quin etiam, fi N fuerit numerus par, veluti noftro cafu, lcilicet 4^ + 2, tunc etiam eius lemiffis cer- te eft fumma quatuor quadratorum. §. 3. Tota ergo quaefiio huc reducitur: Vtrum omnes numeri impariter pares, fiue formae 4 n + 2, fem- per in duas huiusmodi partes, quae fint formae 4 n -+ 1, fimulque numeri primi, fecari poffint, id quod per indu- ctionem inueftigemus. Conftitutis fcilicet numeris primis forma 4/24-1, qui funt 1, 5, 13, i7> 29, 37, 41» 53> $i, 73, etc. percurramus ordine omnes numeros formae 4 n -+ 2, et fingulis adiungamus refolutionem in duos huiusmodi nu- meros primos:. 29+37 70 = $17+53 ^294-41 \ C i+73 74 = 4<3+<m C37+37 C 5+37 78 = J17+61 '37+41 82- §29+53 £41+41 S6 — 13+73 C 1 + 89 90 — V7+73 129+61 37+53 94 = S 5+89 C4I+53 98 = 102 = 106 = 110 =. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Imperatorskaia akademiia nauk i khudozhestv (Russia). Petropoli


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