What is the 7029th prime number?
The 7029th prime number is 70979. The next prime is 70981 (a gap of 2) and the one before is 70969.
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 7029th one is 70979.
- 2
70979 is prime because no prime up to ā70979 ā 266.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7029th prime is close to 7029 Ć ln(7029) ā 62261, and here it is 70979.
- 4
70979 is a twin prime: 70979 and 70981 are both prime.
Primes around the 7029th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7026 | 70951 | 2 |
| 7027 | 70957 | 6 |
| 7028 | 70969 | 12 |
| 7029 | 70979 | 10 |
| 7030 | 70981 | 2 |
| 7031 | 70991 | 10 |
| 7032 | 70997 | 6 |
Questions
What is the 7029th prime number?
70979.
Which prime number is 70979?
70979 is the 7029th prime number.
What is the sum of the first 7029 primes?
235,515,462.