It's estimated that between 135 and 270 women had their lives shortened as a result of the blunder but it is not known whether any delay in diagnosis resulted in avoidable death.
It is believed local breast screening services across the United Kingdom are working with the NHS England and PHE to ensure all women and families impacted are contacted.
Her daughter Belinda, 57, told The Sun she should have had the test but never got the letter - and a year later a lump was found and she was diagnosed with stage three cancer.
Screening programmes are run separately across the United Kingdom and so this issue only affects women registered with a GP in England.
Hunt stated that of the 450,000 women that were not invited back for another screening, only 309,000 are assumed to still be alive.
While it's well-known that a lump in the breast could be a sign of the disease, there are many lesser-known symptoms that women (and indeed, men) should be aware of, as treatment is more successful if it's detected early.
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Jo Withnall, breast care secretary, said: 'I just want to thank the ladies from the Women's Institute for the donation and for everyone's continuous support'.
"We encourage women who have been invited for screening to see it as an important step in helping to look after their health, and to therefore continue to attend for screening if invited".
Since 2009 women aged 68-71 were not invited for their final screening appointment.
He asked: "Did the department receive any warnings in that time, is there any record of how many women raised concerns that they had not received appropriate screening, were there any opportunities to change this mistake which were missed?"
There will be questions too about the level of oversight of such programmes.
Apologising "wholeheartedly and unreservedly" for suffering caused, Mr Hunt told Commons today: "Many families will be deeply disturbed by these revelations, not least because there will be some people who receive a letter having had a recent diagnosis of breast cancer". The IT failure meant that the women affected missed out on a routine appointment before their 70th birthday.
"I'm angry, we won't know if it would have lengthened her life of saved or life - but we will always wonder now", she said. We have carried out urgent work to identify the problem and have fixed it.