What is the 1402nd prime number?
The 1402nd prime number is 11681. The next prime is 11689 (a gap of 8) and the one before is 11677.
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 1402nd one is 11681.
- 2
11681 is prime because no prime up to ā11681 ā 108.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1402nd prime is close to 1402 Ć ln(1402) ā 10158, and here it is 11681.
- 4
11681 has no twin: neither 11679 nor 11683 is prime.
Primes around the 1402nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1399 | 11633 | 12 |
| 1400 | 11657 | 24 |
| 1401 | 11677 | 20 |
| 1402 | 11681 | 4 |
| 1403 | 11689 | 8 |
| 1404 | 11699 | 10 |
| 1405 | 11701 | 2 |
Questions
What is the 1402nd prime number?
11681.
Which prime number is 11681?
11681 is the 1402nd prime number.
What is the sum of the first 1402 primes?
7,607,927.