What is the 7020th prime number?
The 7020th prime number is 70901. The next prime is 70913 (a gap of 12) and the one before is 70891.
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 7020th one is 70901.
- 2
70901 is prime because no prime up to ā70901 ā 266.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7020th prime is close to 7020 Ć ln(7020) ā 62173, and here it is 70901.
- 4
70901 has no twin: neither 70899 nor 70903 is prime.
Primes around the 7020th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7017 | 70877 | 10 |
| 7018 | 70879 | 2 |
| 7019 | 70891 | 12 |
| 7020 | 70901 | 10 |
| 7021 | 70913 | 12 |
| 7022 | 70919 | 6 |
| 7023 | 70921 | 2 |
Questions
What is the 7020th prime number?
70901.
Which prime number is 70901?
70901 is the 7020th prime number.
What is the sum of the first 7020 primes?
234,876,967.