What is the 6061st prime number?
The 6061st prime number is 60037. The next prime is 60041 (a gap of 4) and the one before is 60029.
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 6061st one is 60037.
- 2
60037 is prime because no prime up to ā60037 ā 245.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6061st prime is close to 6061 Ć ln(6061) ā 52789, and here it is 60037.
- 4
60037 has no twin: neither 60035 nor 60039 is prime.
Primes around the 6061st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6058 | 60013 | 14 |
| 6059 | 60017 | 4 |
| 6060 | 60029 | 12 |
| 6061 | 60037 | 8 |
| 6062 | 60041 | 4 |
| 6063 | 60077 | 36 |
| 6064 | 60083 | 6 |
Questions
What is the 6061st prime number?
60037.
Which prime number is 60037?
60037 is the 6061st prime number.
What is the sum of the first 6061 primes?
172,088,834.