What is the 7642nd prime number?
The 7642nd prime number is 77743. The next prime is 77747 (a gap of 4) and the one before is 77731.
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 7642nd one is 77743.
- 2
77743 is prime because no prime up to ā77743 ā 278.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7642nd prime is close to 7642 Ć ln(7642) ā 68330, and here it is 77743.
- 4
77743 has no twin: neither 77741 nor 77745 is prime.
Primes around the 7642nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7639 | 77719 | 6 |
| 7640 | 77723 | 4 |
| 7641 | 77731 | 8 |
| 7642 | 77743 | 12 |
| 7643 | 77747 | 4 |
| 7644 | 77761 | 14 |
| 7645 | 77773 | 12 |
Questions
What is the 7642nd prime number?
77743.
Which prime number is 77743?
77743 is the 7642nd prime number.
What is the sum of the first 7642 primes?
281,099,503.