What is the 7024th prime number?
The 7024th prime number is 70937. The next prime is 70949 (a gap of 12) and the one before is 70921.
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 7024th one is 70937.
- 2
70937 is prime because no prime up to ā70937 ā 266.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7024th prime is close to 7024 Ć ln(7024) ā 62212, and here it is 70937.
- 4
70937 has no twin: neither 70935 nor 70939 is prime.
Primes around the 7024th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7021 | 70913 | 12 |
| 7022 | 70919 | 6 |
| 7023 | 70921 | 2 |
| 7024 | 70937 | 16 |
| 7025 | 70949 | 12 |
| 7026 | 70951 | 2 |
| 7027 | 70957 | 6 |
Questions
What is the 7024th prime number?
70937.
Which prime number is 70937?
70937 is the 7024th prime number.
What is the sum of the first 7024 primes?
235,160,657.