What is the 7031st prime number?
The 7031st prime number is 70991. The next prime is 70997 (a gap of 6) and the one before is 70981.
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 7031st one is 70991.
- 2
70991 is prime because no prime up to ā70991 ā 266.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7031st prime is close to 7031 Ć ln(7031) ā 62281, and here it is 70991.
- 4
70991 has no twin: neither 70989 nor 70993 is prime.
Primes around the 7031st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7028 | 70969 | 12 |
| 7029 | 70979 | 10 |
| 7030 | 70981 | 2 |
| 7031 | 70991 | 10 |
| 7032 | 70997 | 6 |
| 7033 | 70999 | 2 |
| 7034 | 71011 | 12 |
Questions
What is the 7031st prime number?
70991.
Which prime number is 70991?
70991 is the 7031st prime number.
What is the sum of the first 7031 primes?
235,657,434.