What is the 1601st prime number?
The 1601st prime number is 13513. The next prime is 13523 (a gap of 10) and the one before is 13499.
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 1601st one is 13513.
- 2
13513 is prime because no prime up to ā13513 ā 116.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1601st prime is close to 1601 Ć ln(1601) ā 11813, and here it is 13513.
- 4
13513 has no twin: neither 13511 nor 13515 is prime.
Primes around the 1601st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1598 | 13477 | 8 |
| 1599 | 13487 | 10 |
| 1600 | 13499 | 12 |
| 1601 | 13513 | 14 |
| 1602 | 13523 | 10 |
| 1603 | 13537 | 14 |
| 1604 | 13553 | 16 |
Questions
What is the 1601st prime number?
13513.
Which prime number is 13513?
13513 is the 1601st prime number.
What is the sum of the first 1601 primes?
10,112,702.