What is the 6951st prime number?
The 6951st prime number is 70141. The next prime is 70157 (a gap of 16) and the one before is 70139.
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 6951st one is 70141.
- 2
70141 is prime because no prime up to ā70141 ā 264.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6951st prime is close to 6951 Ć ln(6951) ā 61493, and here it is 70141.
- 4
70141 is a twin prime: 70139 and 70141 are both prime.
Primes around the 6951st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6948 | 70121 | 4 |
| 6949 | 70123 | 2 |
| 6950 | 70139 | 16 |
| 6951 | 70141 | 2 |
| 6952 | 70157 | 16 |
| 6953 | 70163 | 6 |
| 6954 | 70177 | 14 |
Questions
What is the 6951st prime number?
70141.
Which prime number is 70141?
70141 is the 6951st prime number.
What is the sum of the first 6951 primes?
230,011,598.