What is the 7102nd prime number?
The 7102nd prime number is 71741. The next prime is 71761 (a gap of 20) and the one before is 71719.
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 7102nd one is 71741.
- 2
71741 is prime because no prime up to ā71741 ā 267.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7102nd prime is close to 7102 Ć ln(7102) ā 62981, and here it is 71741.
- 4
71741 has no twin: neither 71739 nor 71743 is prime.
Primes around the 7102nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7099 | 71711 | 4 |
| 7100 | 71713 | 2 |
| 7101 | 71719 | 6 |
| 7102 | 71741 | 22 |
| 7103 | 71761 | 20 |
| 7104 | 71777 | 16 |
| 7105 | 71789 | 12 |
Questions
What is the 7102nd prime number?
71741.
Which prime number is 71741?
71741 is the 7102nd prime number.
What is the sum of the first 7102 primes?
240,724,551.