What is the 7023rd prime number?
The 7023rd prime number is 70921. The next prime is 70937 (a gap of 16) and the one before is 70919.
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 7023rd one is 70921.
- 2
70921 is prime because no prime up to ā70921 ā 266.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7023rd prime is close to 7023 Ć ln(7023) ā 62202, and here it is 70921.
- 4
70921 is a twin prime: 70919 and 70921 are both prime.
Primes around the 7023rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7020 | 70901 | 10 |
| 7021 | 70913 | 12 |
| 7022 | 70919 | 6 |
| 7023 | 70921 | 2 |
| 7024 | 70937 | 16 |
| 7025 | 70949 | 12 |
| 7026 | 70951 | 2 |
Questions
What is the 7023rd prime number?
70921.
Which prime number is 70921?
70921 is the 7023rd prime number.
What is the sum of the first 7023 primes?
235,089,720.