What is the 7021st prime number?
The 7021st prime number is 70913. The next prime is 70919 (a gap of 6) and the one before is 70901.
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 7021st one is 70913.
- 2
70913 is prime because no prime up to ā70913 ā 266.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7021st prime is close to 7021 Ć ln(7021) ā 62183, and here it is 70913.
- 4
70913 has no twin: neither 70911 nor 70915 is prime.
Primes around the 7021st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7018 | 70879 | 2 |
| 7019 | 70891 | 12 |
| 7020 | 70901 | 10 |
| 7021 | 70913 | 12 |
| 7022 | 70919 | 6 |
| 7023 | 70921 | 2 |
| 7024 | 70937 | 16 |
Questions
What is the 7021st prime number?
70913.
Which prime number is 70913?
70913 is the 7021st prime number.
What is the sum of the first 7021 primes?
234,947,880.