What is the 6146th prime number?
The 6146th prime number is 61001. The next prime is 61007 (a gap of 6) and the one before is 60961.
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 6146th one is 61001.
- 2
61001 is prime because no prime up to ā61001 ā 246.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6146th prime is close to 6146 Ć ln(6146) ā 53615, and here it is 61001.
- 4
61001 has no twin: neither 60999 nor 61003 is prime.
Primes around the 6146th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6143 | 60943 | 6 |
| 6144 | 60953 | 10 |
| 6145 | 60961 | 8 |
| 6146 | 61001 | 40 |
| 6147 | 61007 | 6 |
| 6148 | 61027 | 20 |
| 6149 | 61031 | 4 |
Questions
What is the 6146th prime number?
61001.
Which prime number is 61001?
61001 is the 6146th prime number.
What is the sum of the first 6146 primes?
177,233,497.