Wheeler was told by Judge Philip Curl, passing sentence at Norwich Crown Court, he would be freed on licence after serving half his sentence providing he behaved well.
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Wheeler, who will remain on the Sex Offenders' Register for life, abused two 13-year-old friends after making contact with them through an internet chat room.
The electronics engineer had contacted the first girl through the internet when she was 11, and then "groomed her" for two years, buying her presents and taking her to the cinema.
Detectives believe Wheeler deliberately exploited the current law on sentencing by waiting until the girls were 13 before having sex with them so he could avoid being jailed for life if caught.
But a Crown Prosecution Service spokesman has told the BBC they will be seeking advice from counsel before deciding whether to appeal because the sentence was too lenient.
He accepts what he has done was wrong." Judge Philip Curl made it clear the girls had been groomed and the offences were extremely serious.