What is the 7101st prime number?
The 7101st prime number is 71719. The next prime is 71741 (a gap of 22) and the one before is 71713.
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 7101st one is 71719.
- 2
71719 is prime because no prime up to ā71719 ā 267.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7101st prime is close to 7101 Ć ln(7101) ā 62972, and here it is 71719.
- 4
71719 has no twin: neither 71717 nor 71721 is prime.
Primes around the 7101st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7098 | 71707 | 8 |
| 7099 | 71711 | 4 |
| 7100 | 71713 | 2 |
| 7101 | 71719 | 6 |
| 7102 | 71741 | 22 |
| 7103 | 71761 | 20 |
| 7104 | 71777 | 16 |
Questions
What is the 7101st prime number?
71719.
Which prime number is 71719?
71719 is the 7101st prime number.
What is the sum of the first 7101 primes?
240,652,810.