What is the 601st prime number?
The 601st prime number is 4421. The next prime is 4423 (a gap of 2) and the one before is 4409.
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 601st one is 4421.
- 2
4421 is prime because no prime up to ā4421 ā 66.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 601st prime is close to 601 Ć ln(601) ā 3846, and here it is 4421.
- 4
4421 is a twin prime: 4421 and 4423 are both prime.
Primes around the 601st
| Position | Prime | Gap from the previous |
|---|---|---|
| 598 | 4391 | 18 |
| 599 | 4397 | 6 |
| 600 | 4409 | 12 |
| 601 | 4421 | 12 |
| 602 | 4423 | 2 |
| 603 | 4441 | 18 |
| 604 | 4447 | 6 |
Questions
What is the 601st prime number?
4421.
Which prime number is 4421?
4421 is the 601st prime number.
What is the sum of the first 601 primes?
1,227,516.