What is the 6147th prime number?
The 6147th prime number is 61007. The next prime is 61027 (a gap of 20) and the one before is 61001.
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 6147th one is 61007.
- 2
61007 is prime because no prime up to ā61007 ā 247.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6147th prime is close to 6147 Ć ln(6147) ā 53625, and here it is 61007.
- 4
61007 has no twin: neither 61005 nor 61009 is prime.
Primes around the 6147th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6144 | 60953 | 10 |
| 6145 | 60961 | 8 |
| 6146 | 61001 | 40 |
| 6147 | 61007 | 6 |
| 6148 | 61027 | 20 |
| 6149 | 61031 | 4 |
| 6150 | 61043 | 12 |
Questions
What is the 6147th prime number?
61007.
Which prime number is 61007?
61007 is the 6147th prime number.
What is the sum of the first 6147 primes?
177,294,504.