What is the 6978th prime number?
The 6978th prime number is 70429. The next prime is 70439 (a gap of 10) and the one before is 70423.
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 6978th one is 70429.
- 2
70429 is prime because no prime up to ā70429 ā 265.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6978th prime is close to 6978 Ć ln(6978) ā 61759, and here it is 70429.
- 4
70429 has no twin: neither 70427 nor 70431 is prime.
Primes around the 6978th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6975 | 70381 | 2 |
| 6976 | 70393 | 12 |
| 6977 | 70423 | 30 |
| 6978 | 70429 | 6 |
| 6979 | 70439 | 10 |
| 6980 | 70451 | 12 |
| 6981 | 70457 | 6 |
Questions
What is the 6978th prime number?
70429.
Which prime number is 70429?
70429 is the 6978th prime number.
What is the sum of the first 6978 primes?
231,909,101.