What is the 7674th prime number?
The 7674th prime number is 78157. The next prime is 78163 (a gap of 6) and the one before is 78139.
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 7674th one is 78157.
- 2
78157 is prime because no prime up to ā78157 ā 279.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7674th prime is close to 7674 Ć ln(7674) ā 68648, and here it is 78157.
- 4
78157 has no twin: neither 78155 nor 78159 is prime.
Primes around the 7674th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7671 | 78121 | 20 |
| 7672 | 78137 | 16 |
| 7673 | 78139 | 2 |
| 7674 | 78157 | 18 |
| 7675 | 78163 | 6 |
| 7676 | 78167 | 4 |
| 7677 | 78173 | 6 |
Questions
What is the 7674th prime number?
78157.
Which prime number is 78157?
78157 is the 7674th prime number.
What is the sum of the first 7674 primes?
283,593,867.