Methods and apparatus to authenticate computing devices

A non-transitory machine readable storage medium comprising instructions to cause programmable circuitry to at least:

• access, via an application providing an online resource, a message requesting access to the online resource, the message including a device Internet Protocol (IP) address corresponding to a computing device transmitting the message;
• extract a log of IP addresses from a token generated by an authentication server, wherein the log of IP addresses extracted from the token includes a first reference IP address and a second reference IP address greater than the first IP address and is defined using a Classless Inter-Domain Routing (CIDR) notation;
• compare the device IP address to the log of IP addresses;
• and
• transmit the token to the application providing the online resource when the device IP address matches at least one of the IP addresses in the log and the device IP address is greater than the first reference IP address and less than the second reference IP address, the token authorizing the computing device to access the online resource.

A method comprising:

• accessing, by executing an instruction with programmable circuitry, via an application providing an online resource, a message requesting access to the online resource, the message including a device Internet Protocol (IP) address corresponding to a computing device transmitting the message;
• extracting, by executing an instruction with the programmable circuitry, a log of IP addresses from a token generated by an authentication server, wherein the log of IP addresses extracted from the token includes a first reference IP address and a second reference IP address greater than the first IP address and is defined using a Classless Inter-Domain Routing (CIDR) notation;
• comparing, by executing an instruction with the programmable circuitry, the device IP address to the log of IP addresses;
• and
• transmitting, by executing an instruction with the programmable circuitry, the token to the application providing the online resource when the device IP address matches at least one of the IP addresses in the log and the device IP address is greater than the first reference IP address and less than the second reference IP address, the token authorizing the computing device to access the online resource.