What is the 4601st prime number?
The 4601st prime number is 44203. The next prime is 44207 (a gap of 4) and the one before is 44201.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 4601st one is 44203.
- 2
44203 is prime because no prime up to ā44203 ā 210.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4601st prime is close to 4601 Ć ln(4601) ā 38805, and here it is 44203.
- 4
44203 is a twin prime: 44201 and 44203 are both prime.
Primes around the 4601st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4598 | 44179 | 8 |
| 4599 | 44189 | 10 |
| 4600 | 44201 | 12 |
| 4601 | 44203 | 2 |
| 4602 | 44207 | 4 |
| 4603 | 44221 | 14 |
| 4604 | 44249 | 28 |
Questions
What is the 4601st prime number?
44203.
Which prime number is 44203?
44203 is the 4601st prime number.
What is the sum of the first 4601 primes?
95,931,674.