What is the 1401st prime number?
The 1401st prime number is 11677. The next prime is 11681 (a gap of 4) and the one before is 11657.
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 1401st one is 11677.
- 2
11677 is prime because no prime up to ā11677 ā 108.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1401st prime is close to 1401 Ć ln(1401) ā 10150, and here it is 11677.
- 4
11677 has no twin: neither 11675 nor 11679 is prime.
Primes around the 1401st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1398 | 11621 | 4 |
| 1399 | 11633 | 12 |
| 1400 | 11657 | 24 |
| 1401 | 11677 | 20 |
| 1402 | 11681 | 4 |
| 1403 | 11689 | 8 |
| 1404 | 11699 | 10 |
Questions
What is the 1401st prime number?
11677.
Which prime number is 11677?
11677 is the 1401st prime number.
What is the sum of the first 1401 primes?
7,596,246.