What is the 6952nd prime number?
The 6952nd prime number is 70157. The next prime is 70163 (a gap of 6) and the one before is 70141.
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 6952nd one is 70157.
- 2
70157 is prime because no prime up to ā70157 ā 264.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6952nd prime is close to 6952 Ć ln(6952) ā 61503, and here it is 70157.
- 4
70157 has no twin: neither 70155 nor 70159 is prime.
Primes around the 6952nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6949 | 70123 | 2 |
| 6950 | 70139 | 16 |
| 6951 | 70141 | 2 |
| 6952 | 70157 | 16 |
| 6953 | 70163 | 6 |
| 6954 | 70177 | 14 |
| 6955 | 70181 | 4 |
Questions
What is the 6952nd prime number?
70157.
Which prime number is 70157?
70157 is the 6952nd prime number.
What is the sum of the first 6952 primes?
230,081,755.