What is the 6949th prime number?
The 6949th prime number is 70123. The next prime is 70139 (a gap of 16) and the one before is 70121.
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 6949th one is 70123.
- 2
70123 is prime because no prime up to ā70123 ā 264.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6949th prime is close to 6949 Ć ln(6949) ā 61473, and here it is 70123.
- 4
70123 is a twin prime: 70121 and 70123 are both prime.
Primes around the 6949th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6946 | 70111 | 12 |
| 6947 | 70117 | 6 |
| 6948 | 70121 | 4 |
| 6949 | 70123 | 2 |
| 6950 | 70139 | 16 |
| 6951 | 70141 | 2 |
| 6952 | 70157 | 16 |
Questions
What is the 6949th prime number?
70123.
Which prime number is 70123?
70123 is the 6949th prime number.
What is the sum of the first 6949 primes?
229,871,318.