What is the 7022nd prime number?
The 7022nd prime number is 70919. The next prime is 70921 (a gap of 2) and the one before is 70913.
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 7022nd one is 70919.
- 2
70919 is prime because no prime up to ā70919 ā 266.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7022nd prime is close to 7022 Ć ln(7022) ā 62192, and here it is 70919.
- 4
70919 is a twin prime: 70919 and 70921 are both prime.
Primes around the 7022nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7019 | 70891 | 12 |
| 7020 | 70901 | 10 |
| 7021 | 70913 | 12 |
| 7022 | 70919 | 6 |
| 7023 | 70921 | 2 |
| 7024 | 70937 | 16 |
| 7025 | 70949 | 12 |
Questions
What is the 7022nd prime number?
70919.
Which prime number is 70919?
70919 is the 7022nd prime number.
What is the sum of the first 7022 primes?
235,018,799.