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teschlg committed Jun 29, 2024
1 parent 7fc9052 commit 5459b61
Showing 1 changed file with 8 additions and 8 deletions.
16 changes: 8 additions & 8 deletions doc/kryptools.ipynb
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{
"data": {
"text/plain": [
"3 (mod 5)"
"3"
]
},
"execution_count": 2,
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{
"data": {
"text/plain": [
"0 (mod 5)"
"0"
]
},
"execution_count": 3,
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{
"data": {
"text/plain": [
"2 (mod 5)"
"2"
]
},
"execution_count": 4,
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"id": "bea6a5f6-911f-4154-95c1-8e841d8a0930",
"metadata": {},
"source": [
"Since it equals $+1$ the number has a [quadratic residue](https://en.wikipedia.org/wiki/Quadratic_residue) and has a square root modulo the prime $7$"
"Since it equals $+1$ the number is a [quadratic residue](https://en.wikipedia.org/wiki/Quadratic_residue) and has a square root modulo the prime $7$"
]
},
{
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{
"data": {
"text/plain": [
"[57, 1579]"
"[3, 19, 1579]"
]
},
"execution_count": 18,
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"id": "450c25e8-1654-4177-9de3-1c4f8d41024a",
"metadata": {},
"source": [
"Pollard $p-1$ (in this case no factor is found)"
"Pollard $p-1$"
]
},
{
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"id": "3d847314-d9af-4a72-af15-374755d6ff93",
"metadata": {},
"source": [
"Lentstra's ECM"
"Lentstra's ECM (if no factor is found, `None` is returned)"
]
},
{
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"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.12.1"
"version": "3.12.2"
}
},
"nbformat": 4,
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