What is the 6950th prime number?
The 6950th prime number is 70139. The next prime is 70141 (a gap of 2) and the one before is 70123.
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 6950th one is 70139.
- 2
70139 is prime because no prime up to ā70139 ā 264.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6950th prime is close to 6950 Ć ln(6950) ā 61483, and here it is 70139.
- 4
70139 is a twin prime: 70139 and 70141 are both prime.
Primes around the 6950th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6947 | 70117 | 6 |
| 6948 | 70121 | 4 |
| 6949 | 70123 | 2 |
| 6950 | 70139 | 16 |
| 6951 | 70141 | 2 |
| 6952 | 70157 | 16 |
| 6953 | 70163 | 6 |
Questions
What is the 6950th prime number?
70139.
Which prime number is 70139?
70139 is the 6950th prime number.
What is the sum of the first 6950 primes?
229,941,457.