\n",
"\n",
@@ -295,7 +293,7 @@
{
"cell_type": "code",
"execution_count": 10,
- "id": "403a6451-c486-4868-acdc-7dd80a4c8f9d",
+ "id": "5a705ef4-b2b7-4006-b518-6e030de8fd30",
"metadata": {},
"outputs": [
{
@@ -310,7 +308,7 @@
}
],
"source": [
- "{p for p in TP if str(p) == str(p)[::-1]}"
+ "{p for p in TP + TPr if str(p) == str(p)[::-1]}"
]
},
{
@@ -480,7 +478,7 @@
"\n",
"# Primality Testing\n",
"\n",
- "I was very impressed with the function [`sympy.isprime`](https://github.com/sympy/sympy/blob/master/sympy/ntheory/primetest.py), and I wanted to investigate the topic of primality testing. I'll start by defining `isprime_simple`, which follows the definition of a prime number almost verbatim:"
+ "I was very impressed with the speed of the function [`sympy.isprime`](https://github.com/sympy/sympy/blob/master/sympy/ntheory/primetest.py), and I wanted to investigate the topic of primality testing. I'll start by defining `isprime_simple`, which follows the definition of a prime number almost verbatim:"
]
},
{
@@ -532,7 +530,7 @@
"id": "05b8cbf7-ea10-4047-bcdb-a5ac7981384b",
"metadata": {},
"source": [
- "That's a noticeable improvement, but testing a 24-digit number would still take hours. We need a massive breakthrough. \n",
+ "For a 24-digit prime, `isprime_simple` would need to test trillions of trillions of divisors, while `isprime_faster` would \"only\" need to test trillions. That's the difference between never completing and taking a few hours. But we would like the test to take milliseconds. We need a massive breakthrough. \n",
"\n",
"Fortunately, [Pierre de Fermat](https://en.wikipedia.org/wiki/Pierre_de_Fermat) provided that breakthrough in 1640! \n",
"\n",
@@ -562,7 +560,7 @@
{
"cell_type": "code",
"execution_count": 16,
- "id": "476282dd-a48a-4eb5-8fed-8495d4878ec2",
+ "id": "c8a59c5e-a01c-49be-a931-c1547c4ac712",
"metadata": {},
"outputs": [],
"source": [
@@ -571,8 +569,24 @@
" if n <= 10:\n",
" return n in (2, 3, 5, 7)\n",
" else:\n",
- " return all(pow(a, n - 1, n) == 1 for a in sample(2, n, k))\n",
- "\n",
+ " return all(pow(a, n - 1, n) == 1 for a in sample(2, n, k))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "6746894c-00e7-41df-b4a3-d5c85862cc94",
+ "metadata": {},
+ "source": [
+ "We need a way to take random samples of integers from a range:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "id": "476282dd-a48a-4eb5-8fed-8495d4878ec2",
+ "metadata": {},
+ "outputs": [],
+ "source": [
"import random\n",
"from typing import Iterable\n",
" \n",
@@ -601,7 +615,7 @@
},
{
"cell_type": "code",
- "execution_count": 17,
+ "execution_count": 18,
"id": "45a11a93-9ef3-48d1-80fa-e0113041346e",
"metadata": {},
"outputs": [],
@@ -624,26 +638,26 @@
},
{
"cell_type": "code",
- "execution_count": 18,
+ "execution_count": 19,
"id": "9eba96df-c298-4d71-b68a-3bf36bf15095",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
- "{3: 1.420427496905646,\n",
- " 4: 0.4795347492645433,\n",
- " 5: 0.13674836646356595,\n",
- " 6: 0.03350572569618954,\n",
- " 7: 0.010703085699607196,\n",
- " 8: 0.0010595970352474955,\n",
- " 9: 0.0010529807251878254,\n",
+ "{3: 1.433229785995569,\n",
+ " 4: 0.47277977521728054,\n",
+ " 5: 0.12450624459417024,\n",
+ " 6: 0.04328208013677137,\n",
+ " 7: 0.010154128989503837,\n",
+ " 8: 0.0021231309812580613,\n",
+ " 9: 0.0005263573440008422,\n",
" 10: 0,\n",
" 11: 0,\n",
" 12: 0}"
]
},
- "execution_count": 18,
+ "execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
@@ -664,7 +678,7 @@
},
{
"cell_type": "code",
- "execution_count": 19,
+ "execution_count": 20,
"id": "8880c588-32f5-46e8-b59c-f9b49d492d3b",
"metadata": {},
"outputs": [
@@ -674,8 +688,8 @@
"{3: 0,\n",
" 4: 0,\n",
" 5: 0,\n",
- " 6: 0.0010824385174922064,\n",
- " 7: 0,\n",
+ " 6: 0.0003613604498214879,\n",
+ " 7: 0.000356548185704557,\n",
" 8: 0,\n",
" 9: 0,\n",
" 10: 0,\n",
@@ -683,13 +697,13 @@
" 12: 0}"
]
},
- "execution_count": 19,
+ "execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
- "{d: false_prime_percent(sample(10**(d-1), 10**d, 200_000), k=25) for d in range(3, 13)}"
+ "{d: false_prime_percent(sample(10**(d-1), 10**d, 300_000), k=25) for d in range(3, 13)}"
]
},
{
@@ -697,44 +711,44 @@
"id": "61ee44c3-f963-4fb1-ac20-4a27adc90f83",
"metadata": {},
"source": [
- "In most runs this produces no false primes; in some runs one or two get through. \n",
+ "The results are randomized, and in some runs this produces no false primes; in some runs a few get through. \n",
"\n",
- "There are a few numbers, called [**Carmichael numbers**](https://en.wikipedia.org/wiki/Carmichael_number), that have a high false prime percentage. [Some Carmichael numbers](https://oeis.org/A033502) are worse than others. \n",
+ "There are a few numbers, called [**Carmichael numbers**](https://en.wikipedia.org/wiki/Carmichael_number), that have a very high false prime percentage. [Some Carmichael numbers](https://oeis.org/A033502) are worse than others. \n",
"\n",
"We can test some of them:"
]
},
{
"cell_type": "code",
- "execution_count": 20,
+ "execution_count": 21,
"id": "7871aaa7-af1c-462b-85bb-d46818ccabea",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
- "{561: 56.32,\n",
- " 1105: 68.95,\n",
- " 1729: 74.45,\n",
- " 2465: 72.27,\n",
- " 2821: 77.05,\n",
- " 6601: 80.08,\n",
- " 8911: 80.47,\n",
- " 41041: 71.11,\n",
- " 101101: 71.25,\n",
- " 294409: 95.19,\n",
- " 340561: 82.67,\n",
- " 825265: 59.95,\n",
- " 56052361: 98.96,\n",
- " 118901521: 99.4,\n",
- " 172947529: 99.43,\n",
- " 216821881: 99.55,\n",
+ "{561: 56.84,\n",
+ " 1105: 69.72,\n",
+ " 1729: 74.68,\n",
+ " 2465: 72.79,\n",
+ " 2821: 76.78,\n",
+ " 6601: 80.1,\n",
+ " 8911: 80.1,\n",
+ " 41041: 70.28,\n",
+ " 101101: 71.63,\n",
+ " 294409: 95.18,\n",
+ " 340561: 81.13,\n",
+ " 825265: 59.82,\n",
+ " 56052361: 99.19,\n",
+ " 118901521: 99.24,\n",
+ " 172947529: 99.45,\n",
+ " 216821881: 99.4,\n",
" 1299963601: 99.65,\n",
- " 2301745249: 99.82,\n",
- " 9624742921: 99.86}"
+ " 2301745249: 99.76,\n",
+ " 9624742921: 99.9}"
]
},
- "execution_count": 20,
+ "execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
@@ -756,7 +770,7 @@
},
{
"cell_type": "code",
- "execution_count": 21,
+ "execution_count": 22,
"id": "de492047-77b6-46a3-8a77-46308f219efd",
"metadata": {},
"outputs": [
@@ -772,25 +786,25 @@
" 8911: 0,\n",
" 41041: 0,\n",
" 101101: 0,\n",
- " 294409: 8.05,\n",
+ " 294409: 4,\n",
" 340561: 0,\n",
" 825265: 0,\n",
- " 56052361: 64.72,\n",
- " 118901521: 71.33,\n",
- " 172947529: 74.18,\n",
- " 216821881: 75.86,\n",
- " 1299963601: 85.84,\n",
- " 2301745249: 87.53,\n",
- " 9624742921: 92.3}"
+ " 56052361: 58,\n",
+ " 118901521: 66,\n",
+ " 172947529: 80,\n",
+ " 216821881: 86,\n",
+ " 1299963601: 90,\n",
+ " 2301745249: 87,\n",
+ " 9624742921: 94}"
]
},
- "execution_count": 21,
+ "execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
- "{n: false_prime_percent([n] * 10_000, k=50) for n in carmichael_numbers}"
+ "{n: false_prime_percent([n] * 100, k=50) for n in carmichael_numbers}"
]
},
{
@@ -809,7 +823,7 @@
},
{
"cell_type": "code",
- "execution_count": 22,
+ "execution_count": 23,
"id": "be5f2fe7-b1e0-4a02-b7f0-7903e865c4b8",
"metadata": {},
"outputs": [],
@@ -831,7 +845,7 @@
},
{
"cell_type": "code",
- "execution_count": 23,
+ "execution_count": 24,
"id": "8109d9fc-bbae-4ef0-a75c-908d9746a557",
"metadata": {},
"outputs": [],
@@ -870,13 +884,13 @@
},
{
"cell_type": "code",
- "execution_count": 24,
+ "execution_count": 25,
"id": "b1ab0f3d-6ce6-4b8c-9d4d-bb78bb1ac432",
"metadata": {},
"outputs": [
{
"data": {
- "image/png": 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",
+ "image/png": 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",
"text/plain": [
""
]
@@ -915,7 +929,7 @@
},
{
"cell_type": "code",
- "execution_count": 25,
+ "execution_count": 26,
"id": "4f377075-e352-46f9-a716-f1de673a7086",
"metadata": {},
"outputs": [],
@@ -930,18 +944,20 @@
"id": "1347399a-24f2-4d5f-aa7f-822951126bf5",
"metadata": {},
"source": [
- "This was fun for me! I remember learning being excited about Fermat's Little Theorem in [Prof. Michael Rosen's](https://mathematics.brown.edu/people/michael-rosen) number theory class in college, but I never worked through the details of how often the test gives a false prime result until now.\n",
+ "This was fun for me! I remember being amazed by Fermat's Little Theorem when I learned about it in [Prof. Michael Rosen's](https://mathematics.brown.edu/people/michael-rosen) number theory class in college, but I never worked through the details of how often the test gives a false prime result until now. \n",
+ "\n",
+ "That number theory class was important for me in several ways. First, it was hard fun. Second, it was the first class that felt like actually *doing* math, rather than being taught some techniques to prepare you to do math some time in the future. And third, I learned a valuable lesson: there was a take-home final exam, handed out Friday and due Monday. I worked on it all day Saturday, and couldn't answer a single one of the ten problems. At that point, I thought to myself \"This never happens on my computer science assignments; I guess I'm more cut out for CS than math.\" On Sunday I came back to it and eventually got answers to most of the problems. (I remember that on one problem, Prof. Rosen said \"You had a very elegant solution for that one, better than the answer I expected. But then I realized it was so good, it could be extended to be a trivial solution to this known difficult problem, and so I looked more closely and noticed a flaw in your argument. Too bad.\")\n",
"\n",
"# Note on Modular Exponentiation\n",
"\n",
- "Just one more thing: none of this would work unless we can efficiently compute *a*(*n* - 1) (mod *n*). How does the `pow` builtin function do it? When *a* and *n* are 24-digit numbers, if we naively tried to compute `a ** (n - 1)`, we'd have two problems: we'd need about a billion petabytes to store the result, and we'd need centuries to compute it. The way around these problems is to use [modular exponentiation](https://en.wikipedia.org/wiki/Modular_exponentiation) where we apply the modulus to each intermediate result, and cut the exponent in half each iteration, so we need only do *O*(log *n*) multiplications, not *O*(*n*). That's a big difference because log2(1024) is only 80. \n",
+ "Just one more thing: none of this would work unless we can efficiently compute *a*(*n* - 1) (mod *n*). How does the `pow` builtin function do it? When *a* and *n* are 24-digit numbers, if we naively tried to compute `a ** (n - 1)`, we'd have two problems: we'd need nearly a billion petabytes to store the result, and we'd need centuries to compute it. The way around these problems is to use [modular exponentiation](https://en.wikipedia.org/wiki/Modular_exponentiation) where we apply the modulus to each intermediate result, and cut the exponent in half each iteration, so we need only do *O*(log *n*) multiplications, not *O*(*n*). That's a big difference: 1024 is a trillion trillion, and log2(1024) is only 80. \n",
"\n",
"The key idea is that *b*2*e* is equal to (*b* × *b*)*e*. Here is an implementation:"
]
},
{
"cell_type": "code",
- "execution_count": 26,
+ "execution_count": 27,
"id": "e71eb140-7e1a-4146-87a7-8c4eebf61486",
"metadata": {},
"outputs": [],
@@ -959,12 +975,12 @@
"id": "6baf40c3-db36-40ba-b2d7-45afa21f811f",
"metadata": {},
"source": [
- "We can see this function is fast and that it correctly computes the remainder of 1 for the follwoing:"
+ "We can see this function is fast and that it correctly computes the remainder of 1 for the following:"
]
},
{
"cell_type": "code",
- "execution_count": 27,
+ "execution_count": 28,
"id": "01838139-52dd-48a0-8f62-bcdef351345e",
"metadata": {},
"outputs": [
@@ -972,8 +988,8 @@
"name": "stdout",
"output_type": "stream",
"text": [
- "CPU times: user 25 μs, sys: 1 μs, total: 26 μs\n",
- "Wall time: 28.1 μs\n"
+ "CPU times: user 25 μs, sys: 0 ns, total: 25 μs\n",
+ "Wall time: 27.2 μs\n"
]
},
{
@@ -982,7 +998,7 @@
"1"
]
},
- "execution_count": 27,
+ "execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}