What is the 7671st prime number?
The 7671st prime number is 78121. The next prime is 78137 (a gap of 16) and the one before is 78101.
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 7671st one is 78121.
- 2
78121 is prime because no prime up to ā78121 ā 279.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7671st prime is close to 7671 Ć ln(7671) ā 68619, and here it is 78121.
- 4
78121 has no twin: neither 78119 nor 78123 is prime.
Primes around the 7671st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7668 | 78059 | 10 |
| 7669 | 78079 | 20 |
| 7670 | 78101 | 22 |
| 7671 | 78121 | 20 |
| 7672 | 78137 | 16 |
| 7673 | 78139 | 2 |
| 7674 | 78157 | 18 |
Questions
What is the 7671st prime number?
78121.
Which prime number is 78121?
78121 is the 7671st prime number.
What is the sum of the first 7671 primes?
283,359,434.