What is the 5041st prime number?
The 5041st prime number is 49037. The next prime is 49043 (a gap of 6) and the one before is 49033.
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 5041st one is 49037.
- 2
49037 is prime because no prime up to ā49037 ā 221.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5041st prime is close to 5041 Ć ln(5041) ā 42976, and here it is 49037.
- 4
49037 has no twin: neither 49035 nor 49039 is prime.
Primes around the 5041st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5038 | 49019 | 10 |
| 5039 | 49031 | 12 |
| 5040 | 49033 | 2 |
| 5041 | 49037 | 4 |
| 5042 | 49043 | 6 |
| 5043 | 49057 | 14 |
| 5044 | 49069 | 12 |
Questions
What is the 5041st prime number?
49037.
Which prime number is 49037?
49037 is the 5041st prime number.
What is the sum of the first 5041 primes?
116,457,370.